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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 |
| 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 | ||
| ||
Spinor construction of vertex operator algebras, triality, and E₈(1) / / Alex J. Feingold, Igor B. Frenkel, John F.X. Ries
| Spinor construction of vertex operator algebras, triality, and E₈(1) / / Alex J. Feingold, Igor B. Frenkel, John F.X. Ries |
| Autore | Feingold Alex J. <1950-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1991] |
| Descrizione fisica | 1 online resource (158 p.) |
| Disciplina | 512/.55 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Infinite dimensional Lie algebras
Kac-Moody algebras Representations of algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7709-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Chapter 0: Introduction""; ""Chapter 1: Summary""; ""Chapter 2: Affine Algebras and Representations""; ""Chapter 3: Spinor Construction of Vertex Operator Superalgebras""; ""Chapter 4: Spinor Construction of the Chevalley Algebra and Triality for D4""; ""Chapter 5: Spinor Construction of Triality for D(1)4""; ""Chapter 6: Spinor Construction of a Vertex Operator Para-algebra for D(1)4""; ""Chapter 7: Spinor Construction of E8""; ""Chapter 8: Spinor Construction of Vertex Operator Algebras for E(1)4""; ""References"" |
| Record Nr. | UNINA-9910480934403321 |
Feingold Alex J. <1950->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1991] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spinor construction of vertex operator algebras, triality, and E₈(1) / / Alex J. Feingold, Igor B. Frenkel, John F.X. Ries
| Spinor construction of vertex operator algebras, triality, and E₈(1) / / Alex J. Feingold, Igor B. Frenkel, John F.X. Ries |
| Autore | Feingold Alex J. <1950-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1991] |
| Descrizione fisica | 1 online resource (158 p.) |
| Disciplina | 512/.55 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Infinite dimensional Lie algebras
Kac-Moody algebras Representations of algebras |
| ISBN | 0-8218-7709-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Chapter 0: Introduction""; ""Chapter 1: Summary""; ""Chapter 2: Affine Algebras and Representations""; ""Chapter 3: Spinor Construction of Vertex Operator Superalgebras""; ""Chapter 4: Spinor Construction of the Chevalley Algebra and Triality for D4""; ""Chapter 5: Spinor Construction of Triality for D(1)4""; ""Chapter 6: Spinor Construction of a Vertex Operator Para-algebra for D(1)4""; ""Chapter 7: Spinor Construction of E8""; ""Chapter 8: Spinor Construction of Vertex Operator Algebras for E(1)4""; ""References"" |
| Record Nr. | UNINA-9910788640403321 |
|
Feingold Alex J. <1950->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1991] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spinor construction of vertex operator algebras, triality, and E₈(1) / / Alex J. Feingold, Igor B. Frenkel, John F.X. Ries
| Spinor construction of vertex operator algebras, triality, and E₈(1) / / Alex J. Feingold, Igor B. Frenkel, John F.X. Ries |
| Autore | Feingold Alex J. <1950-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1991] |
| Descrizione fisica | 1 online resource (158 p.) |
| Disciplina | 512/.55 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Infinite dimensional Lie algebras
Kac-Moody algebras Representations of algebras |
| ISBN | 0-8218-7709-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Chapter 0: Introduction""; ""Chapter 1: Summary""; ""Chapter 2: Affine Algebras and Representations""; ""Chapter 3: Spinor Construction of Vertex Operator Superalgebras""; ""Chapter 4: Spinor Construction of the Chevalley Algebra and Triality for D4""; ""Chapter 5: Spinor Construction of Triality for D(1)4""; ""Chapter 6: Spinor Construction of a Vertex Operator Para-algebra for D(1)4""; ""Chapter 7: Spinor Construction of E8""; ""Chapter 8: Spinor Construction of Vertex Operator Algebras for E(1)4""; ""References"" |
| Record Nr. | UNINA-9910811761603321 |
|
Feingold Alex J. <1950->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1991] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||