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Perspectives in representation theory : a conference in honor of Igor Frenkel's 60th birthday : May 12-17, 2012, Yale University, New Haven, CT / / Pavel Etingof, Mikhail Khovanov, Alistair Savage, editors
| Perspectives in representation theory : a conference in honor of Igor Frenkel's 60th birthday : May 12-17, 2012, Yale University, New Haven, CT / / Pavel Etingof, Mikhail Khovanov, Alistair Savage, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (384 p.) |
| Disciplina | 512/.22 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Representations of algebras
Lie algebras Representations of groups Group theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1523-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""On the work of Igor Frenkel""; ""Introduction by Pavel Etingof""; ""1. Representation theory of affine Lie algebras by Alistair Savage and Anthony Licata""; ""2. Quantum Knizhnik-Zamolodchikov equations by Pavel Etingof""; ""3. Double loop groups by Pavel Etingof""; ""4. Vertex operator algebras by John Duncan""; ""5. Three-dimensional quantum gravity by John Duncan""; ""6. Quaternionic analysis by Matvei Libine""; ""7. Emergence of a new area �elliptic hypergeometric series by Michael Schlosser""
""8. Representation theory of split real quantum groups and modular doubles by Ivan Ip""""9. Categorification by Mikhail Khovanov""; ""10. Geometric representation theory by Anthony Licata""; ""References""; ""Macdonald polynomials, Laumon spaces and perverse coherent sheaves""; ""1. Introduction""; ""2. Combinatorial notations""; ""3. Macdonald function""; ""4. Vanishing""; ""5. Parabolic Laumon spaces""; ""6. Euler characteristics of twisted De Rham complexes""; ""7. Difference equations""; ""8. Speculations for arbitrary simple groups""; ""Acknowledgments""; ""References"" ""An affine Gindikin-Karpelevich formula""""1. Introduction""; ""2. Affine Kac-Moody groups""; ""3. Finiteness of the Gindikin-Karpelevich Sum, Part I""; ""4. Completion of �""; ""5. Finiteness of the Gindikin-Karpelevich Sum, Part 2""; ""6. Proof of Theorem 1.9 and Theorem 1.13""; ""7. Appendix: Proof of 5.9""; ""Acknowledgements""; ""References""; ""On the discrete groups of Mathieu Moonshine""; ""1. Introduction""; ""2. Preliminaries""; ""3. Cusp forms""; ""4. Perspectives""; ""Appendix A. Special functions""; ""References""; ""References""; ""The classical master equation"" ""1. Introduction""""2. Graded varieties""; ""3. Solutions of the classical master equation""; ""4. Existence and uniqueness for affine varieties""; ""5. Computing the BRST cohomology""; ""6. Examples""; ""7. BRST cohomology in degree 0 and 1 and Lie�Rinehart cohomology""; ""8. The case of quasi-projective varieties""; ""Appendix A. Stable isomorphism of Tate resolutions""; ""Appendix B. Gluing sheaves of differential graded algebra""; ""Acknowledgements""; ""References""; ""DG indschemes""; ""Introduction""; ""Acknowledgments""; ""1. DG indschemes""; ""2. Sheaves on DG indschemes"" ""4. Fourth order differential equations"" |
| Record Nr. | UNINA-9910480110503321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Perspectives in representation theory : a conference in honor of Igor Frenkel's 60th birthday : May 12-17, 2012, Yale University, New Haven, CT / / Pavel Etingof, Mikhail Khovanov, Alistair Savage, editors
| Perspectives in representation theory : a conference in honor of Igor Frenkel's 60th birthday : May 12-17, 2012, Yale University, New Haven, CT / / Pavel Etingof, Mikhail Khovanov, Alistair Savage, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (384 p.) |
| Disciplina | 512/.22 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of algebras
Lie algebras Representations of groups Group theory |
| ISBN | 1-4704-1523-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- On the work of Igor Frenkel -- Introduction by Pavel Etingof -- 1. Representation theory of affine Lie algebras by Alistair Savage and Anthony Licata -- 2. Quantum Knizhnik-Zamolodchikov equations by Pavel Etingof -- 3. Double loop groups by Pavel Etingof -- 4. Vertex operator algebras by John Duncan -- 5. Three-dimensional quantum gravity by John Duncan -- 6. Quaternionic analysis by Matvei Libine -- 7. Emergence of a new area "elliptic hypergeometric series by Michael Schlosser -- 8. Representation theory of split real quantum groups and modular doubles by Ivan Ip -- 9. Categorification by Mikhail Khovanov -- 10. Geometric representation theory by Anthony Licata -- References -- Macdonald polynomials, Laumon spaces and perverse coherent sheaves -- 1. Introduction -- 2. Combinatorial notations -- 3. Macdonald function -- 4. Vanishing -- 5. Parabolic Laumon spaces -- 6. Euler characteristics of twisted De Rham complexes -- 7. Difference equations -- 8. Speculations for arbitrary simple groups -- Acknowledgments -- References -- An affine Gindikin-Karpelevich formula -- 1. Introduction -- 2. Affine Kac-Moody groups -- 3. Finiteness of the Gindikin-Karpelevich Sum, Part I -- 4. Completion of â?» -- 5. Finiteness of the Gindikin-Karpelevich Sum, Part 2 -- 6. Proof of Theorem 1.9 and Theorem 1.13 -- 7. Appendix: Proof of 5.9 -- Acknowledgements -- References -- On the discrete groups of Mathieu Moonshine -- 1. Introduction -- 2. Preliminaries -- 3. Cusp forms -- 4. Perspectives -- Appendix A. Special functions -- References -- References -- The classical master equation -- 1. Introduction -- 2. Graded varieties -- 3. Solutions of the classical master equation -- 4. Existence and uniqueness for affine varieties -- 5. Computing the BRST cohomology -- 6. Examples -- 7. BRST cohomology in degree 0 and 1 and Lie"Rinehart cohomology -- 8. The case of quasi-projective varieties -- Appendix A. Stable isomorphism of Tate resolutions -- Appendix B. Gluing sheaves of differential graded algebra -- Acknowledgements -- References -- DG indschemes -- Introduction -- Acknowledgments -- 1. DG indschemes -- 2. Sheaves on DG indschemes -- 4. Fourth order differential equations. |
| Record Nr. | UNINA-9910786541603321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Perspectives in representation theory : a conference in honor of Igor Frenkel's 60th birthday : May 12-17, 2012, Yale University, New Haven, CT / / Pavel Etingof, Mikhail Khovanov, Alistair Savage, editors
| Perspectives in representation theory : a conference in honor of Igor Frenkel's 60th birthday : May 12-17, 2012, Yale University, New Haven, CT / / Pavel Etingof, Mikhail Khovanov, Alistair Savage, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (384 p.) |
| Disciplina | 512/.22 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of algebras
Lie algebras Representations of groups Group theory |
| ISBN | 1-4704-1523-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- On the work of Igor Frenkel -- Introduction by Pavel Etingof -- 1. Representation theory of affine Lie algebras by Alistair Savage and Anthony Licata -- 2. Quantum Knizhnik-Zamolodchikov equations by Pavel Etingof -- 3. Double loop groups by Pavel Etingof -- 4. Vertex operator algebras by John Duncan -- 5. Three-dimensional quantum gravity by John Duncan -- 6. Quaternionic analysis by Matvei Libine -- 7. Emergence of a new area "elliptic hypergeometric series by Michael Schlosser -- 8. Representation theory of split real quantum groups and modular doubles by Ivan Ip -- 9. Categorification by Mikhail Khovanov -- 10. Geometric representation theory by Anthony Licata -- References -- Macdonald polynomials, Laumon spaces and perverse coherent sheaves -- 1. Introduction -- 2. Combinatorial notations -- 3. Macdonald function -- 4. Vanishing -- 5. Parabolic Laumon spaces -- 6. Euler characteristics of twisted De Rham complexes -- 7. Difference equations -- 8. Speculations for arbitrary simple groups -- Acknowledgments -- References -- An affine Gindikin-Karpelevich formula -- 1. Introduction -- 2. Affine Kac-Moody groups -- 3. Finiteness of the Gindikin-Karpelevich Sum, Part I -- 4. Completion of â?» -- 5. Finiteness of the Gindikin-Karpelevich Sum, Part 2 -- 6. Proof of Theorem 1.9 and Theorem 1.13 -- 7. Appendix: Proof of 5.9 -- Acknowledgements -- References -- On the discrete groups of Mathieu Moonshine -- 1. Introduction -- 2. Preliminaries -- 3. Cusp forms -- 4. Perspectives -- Appendix A. Special functions -- References -- References -- The classical master equation -- 1. Introduction -- 2. Graded varieties -- 3. Solutions of the classical master equation -- 4. Existence and uniqueness for affine varieties -- 5. Computing the BRST cohomology -- 6. Examples -- 7. BRST cohomology in degree 0 and 1 and Lie"Rinehart cohomology -- 8. The case of quasi-projective varieties -- Appendix A. Stable isomorphism of Tate resolutions -- Appendix B. Gluing sheaves of differential graded algebra -- Acknowledgements -- References -- DG indschemes -- Introduction -- Acknowledgments -- 1. DG indschemes -- 2. Sheaves on DG indschemes -- 4. Fourth order differential equations. |
| Record Nr. | UNINA-9910810326503321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Pregroups and Bass-Serre theory / / Frank Rimlinger
| Pregroups and Bass-Serre theory / / Frank Rimlinger |
| Autore | Rimlinger Frank <1957-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1987 |
| Descrizione fisica | 1 online resource (86 p.) |
| Disciplina | 512/.22 |
| Collana | Progress in Molecular Biology and Translation Science |
| Soggetto topico | Pregroups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0777-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Part I: Stallings's theorem about pregroups; introduction to pregroups of finite height""; ""1. The definition of a pregroup""; ""2. The pregroups of finite height""; ""3. The subpregroup of units""; ""Part II: A presentation for the universal group of a pregroup of finite height""; ""4. Pregroup actions and generating sets""; ""5. A presentation for the universal group of a pregroup of finite height""; ""Part III: The relationship between pregroups and graphs of groups""; ""6. A graph of groups structure for pregroups of finite height""
""7. A pregroup structure for graphs of groups of finite diameter""""References"" |
| Record Nr. | UNINA-9910480685303321 |
Rimlinger Frank <1957->
|
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| Providence, Rhode Island : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Pregroups and Bass-Serre theory / / Frank Rimlinger
| Pregroups and Bass-Serre theory / / Frank Rimlinger |
| Autore | Rimlinger Frank <1957-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1987 |
| Descrizione fisica | 1 online resource (86 p.) |
| Disciplina | 512/.22 |
| Collana | Progress in Molecular Biology and Translation Science |
| Soggetto topico | Pregroups |
| ISBN | 1-4704-0777-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Part I: Stallings's theorem about pregroups; introduction to pregroups of finite height""; ""1. The definition of a pregroup""; ""2. The pregroups of finite height""; ""3. The subpregroup of units""; ""Part II: A presentation for the universal group of a pregroup of finite height""; ""4. Pregroup actions and generating sets""; ""5. A presentation for the universal group of a pregroup of finite height""; ""Part III: The relationship between pregroups and graphs of groups""; ""6. A graph of groups structure for pregroups of finite height""
""7. A pregroup structure for graphs of groups of finite diameter""""References"" |
| Record Nr. | UNINA-9910788883503321 |
|
Rimlinger Frank <1957->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Pregroups and Bass-Serre theory / / Frank Rimlinger
| Pregroups and Bass-Serre theory / / Frank Rimlinger |
| Autore | Rimlinger Frank <1957-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1987 |
| Descrizione fisica | 1 online resource (86 p.) |
| Disciplina | 512/.22 |
| Collana | Progress in Molecular Biology and Translation Science |
| Soggetto topico | Pregroups |
| ISBN | 1-4704-0777-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Part I: Stallings's theorem about pregroups; introduction to pregroups of finite height""; ""1. The definition of a pregroup""; ""2. The pregroups of finite height""; ""3. The subpregroup of units""; ""Part II: A presentation for the universal group of a pregroup of finite height""; ""4. Pregroup actions and generating sets""; ""5. A presentation for the universal group of a pregroup of finite height""; ""Part III: The relationship between pregroups and graphs of groups""; ""6. A graph of groups structure for pregroups of finite height""
""7. A pregroup structure for graphs of groups of finite diameter""""References"" |
| Record Nr. | UNINA-9910819088703321 |
|
Rimlinger Frank <1957->
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| Providence, Rhode Island : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Products of reflections in U(p, q) / / Dragomir Ž Djoković and Jerry G. Malzan
| Products of reflections in U(p, q) / / Dragomir Ž Djoković and Jerry G. Malzan |
| Autore | Djoković Dragomir Ž |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina |
510 s
512/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Unitary groups
Group theory - Reflections |
| ISBN | 1-4704-0666-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Table of Contents -- Introduction -- 1 Types and Conjugacy Classes -- 2 Matrix Representation of Types -- 3 Positive Reflections -- 4 Basic Equation -- 5 Contributions of Indecomposable Types -- 6 The Invariant -- 7 Lemmas -- 8 Loxodromic Types -- 9 Pseudo-Loxodromic Types -- 10 Classification of Types -- 11 Types of the First Kind -- 12 Types of the Second Kind -- 13 The Main Theorem -- 14 Lengths using both types of Reflections -- Reference. |
| Record Nr. | UNINA-9910788896703321 |
|
Djoković Dragomir Ž
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||
| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Products of reflections in U(p, q) / / Dragomir Ž Djoković and Jerry G. Malzan
| Products of reflections in U(p, q) / / Dragomir Ž Djoković and Jerry G. Malzan |
| Autore | Djoković Dragomir Ž |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina |
510 s
512/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Unitary groups
Group theory - Reflections |
| ISBN | 1-4704-0666-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Table of Contents -- Introduction -- 1 Types and Conjugacy Classes -- 2 Matrix Representation of Types -- 3 Positive Reflections -- 4 Basic Equation -- 5 Contributions of Indecomposable Types -- 6 The Invariant -- 7 Lemmas -- 8 Loxodromic Types -- 9 Pseudo-Loxodromic Types -- 10 Classification of Types -- 11 Types of the First Kind -- 12 Types of the Second Kind -- 13 The Main Theorem -- 14 Lengths using both types of Reflections -- Reference. |
| Record Nr. | UNINA-9910812432903321 |
|
Djoković Dragomir Ž
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| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Products of reflections in U(p, q) / / Dragomir {caron}Z. Djokovi{acute}c and Jerry G. Malzan
| Products of reflections in U(p, q) / / Dragomir {caron}Z. Djokovi{acute}c and Jerry G. Malzan |
| Autore | ℗Đokovi{acute}c Dragomir {caron}Z |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina |
510 s
512/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Unitary groups
Group theory - Reflections |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0666-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""1 Types and Conjugacy Classes""; ""2 Matrix Representation of Types""; ""3 Positive Reflections""; ""4 Basic Equation""; ""5 Contributions of Indecomposable Types""; ""6 The Invariant""; ""7 Lemmas Î? â?? Î?'""; ""8 Loxodromic Types""; ""9 Pseudo-Loxodromic Types""; ""10 Classification of Types""; ""11 Types of the First Kind""; ""12 Types of the Second Kind""; ""13 The Main Theorem""; ""14 Lengths using both types of Reflections""; ""References"" |
| Record Nr. | UNINA-9910480836203321 |
|
℗Đokovi{acute}c Dragomir {caron}Z
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| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Recent advances in representation theory, quantum groups, algebraic geometry, and related topics : AMS special sessions on geometric and algebraic aspects of representation theory and quantum groups, and noncommutative algebraic geometry, October 13-14, 2012, Tulane University, New Orleans, Louisiana / / Pramod N. Achar, [and three others], editors
| Recent advances in representation theory, quantum groups, algebraic geometry, and related topics : AMS special sessions on geometric and algebraic aspects of representation theory and quantum groups, and noncommutative algebraic geometry, October 13-14, 2012, Tulane University, New Orleans, Louisiana / / Pramod N. Achar, [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 512/.22 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Representations of groups
Quantum groups Geometry, Algebraic Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1929-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""References""""Dimensions of imaginary root spaces of hyperbolic Kacâ€?Moody algebras""; ""1. Introduction""; ""2. Berman-Moody formula and Peterson formula""; ""3. Works of Feingold and Frenkel, and Kac, Moody and Wakimoto""; ""4. Kangâ€?s generalizations""; ""5. Frenkelâ€?s conjecture""; ""6. Multiplicities of norm zero root spaces""; ""7. Extended and overextended Dynkin diagrams""; ""8. Root multiplicities for â??â?€ and â??â??""; ""9. Borcherdsâ€?s constructions""; ""10. Asymptotics by the method of Hardy-Ramanujan-Rademacher""; ""11. Summary of results on root multiplicities""
""Acknowledgments""""References""; ""On some structures of Leibniz algebras""; ""1. Introduction""; ""2. Preliminaries""; ""3. Solvability""; ""4. Nilpotency""; ""5. Semisimplicity""; ""6. Classification of Low dimensional Leibniz algebras""; ""References""; ""A geometric construction of generalized -Schur algebras""; ""Introduction""; ""1. The algebras , ""; ""2. The algebra â??_{ }""; ""3. A parametrization""; ""Acknowledgements""; ""References""; ""On the classification of irreducible Gelfand-Tsetlin modules of (3)""; ""1. Introduction""; ""2. Preliminaries."" ""3. Gelfand-Tsetlin modules""""4. Gelfand-Tsetlin modules of (3)""; ""5. Modules in defined by tableaux""; ""6. Localization functors""; ""7. Generic blocks of and localization""; ""8. Example""; ""9. Main results""; ""References""; ""Supersymmetry and the modular double""; ""1. Introduction""; ""2. Reminder of the modular double.""; ""3. Modular double for _{ }( (1|2))""; ""4. -matrix for _{ , ( )}( (1|2))""; ""5. Final remarks""; ""References""; ""On Weyl modules for quantum and hyper loop algebras""; ""Introduction""; ""1. The Algebras"" ""2. Weyl Modules""""Acknowledgements""; ""References""; ""Toroidal Lie superalgebras and free field representations""; ""1. Introduction""; ""2. Preliminaries""; ""3. Loop-like toroidal Lie superalgebras ( )""; ""4. Free field realizations of ( )""; ""5. Appendix""; ""References""; ""Invariants of (-1)-skew polynomial rings under permutation representations""; ""0. Introduction""; ""1. Definitions and basic properties""; ""2. Upper bound for the algebra generators""; ""3. Invariants under the full symmetric group _{ }""; ""4. Invariants under _{ }"" ""5. Converse of Kac-Watanabe-Gordeev Theorem"" |
| Record Nr. | UNINA-9910480118203321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
