Recent developments in algebraic and combinatorial aspects of representation theory : International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, August 12-16, 2010, National Institute of Advanced Studies, Bangalore, India : Conference on Algebraic and Combinatorial Approaches to Representation Theory, May 18-20, 2012, University of California, Riverside, CA / / Vyjayanthi Chari [and four others], editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
Descrizione fisica | 1 online resource (222 p.) |
Disciplina | 515/.7223 |
Collana | Contemporary Mathematics |
Soggetto topico |
Associative rings
Partially ordered sets Nonassociative rings |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-1105-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Chapter 1. Preface""; ""Kostka systems and exotic -structures for reflection groups""; ""1. Introduction""; ""2. Notation and preliminaries""; ""3. Triangulated subcategories associated to a phylum""; ""4. Results from the geometry of generalized Springer correspondences""; ""5. Module categories associated to a phylum""; ""6. Main results""; ""References""; ""The doublet vertex operator superalgebras ( ) and _{2, }""; ""1. Introduction""; ""2. The vertex (super)algebra ( )""; ""3. On intertwining operators for ( )""; ""4. Classification of irreducible ( )�modules""
""5. The Zhuâ€?s algebra ( ( )): =4 +2""""6. The triplet vertex algebra _{2, } and its modules""; ""7. The doublet vertex superalgebra _{2, }.""; ""References""; ""Quantum deformations of irreducible representations of ( ) toward the Kronecker problem""; ""1. Introduction""; ""2. Preliminaries""; ""3. Wedge Modules""; ""4. Crystal basis for â?_{ }^{ }( )""; ""5. Construction of _{ , }( )""; ""6. Research announcement""; ""Appendix A. An example""; ""References""; ""A Parametric Family of Subalgebras of the Weyl Algebra II. Irreducible Modules"" ""1. Introduction""""2. Modules for Ore Extensions""; ""3. Indecomposable _{ }-modules""; ""4. Generalized Weight Modules for _{ }""; ""5. Primitive Ideals of _{ }""; ""6. Irreducible _{ }-modules when ( )=0""; ""7. Irreducible _{ }-modules when ( )= >0""; ""8. The Combinatorics of ^{ }( )""; ""References""; ""Generic extensions and composition monoids of cyclic quivers""; ""1. Introduction""; ""2. The generic extension monoid of \tri_{ }""; ""3. Degenerate composition algebras of \tri_{ }""; ""4. A presentation for the composition monoid of \triâ??"" ""References""""Wedge modules for two-parameter quantum groups""; ""1. Introduction""; ""2. Two-parameter quantum group _{ , }( _{ }) and R-matrix""; ""3. Yang-Baxterization""; ""4. ( , )-wedge modules of _{ , }( _{ })""; ""Acknowledgments""; ""References""; ""Blocks of the truncated -Schur algebras of type A""; ""1. Introduction""; ""2. Jantzen equivalence and blocks""; ""3. Combinatorics and Jantzen equivalence for Schur algebras""; ""Acknowledgement""; ""References""; ""Decorated Geometric Crystals, Polyhedral and Monomial Realizations of Crystal Bases"" ""1. Introduction""""2. Crystal and its polyhedral realization""; ""3. Decorated geometric crystals""; ""4. Explicit form of the decoration _{ } of type _{ }""; ""5. Ultra-Discretization and Polyhedral Realizations of type _{ }""; ""6. Elementary Characters and Monomial Realization of Crystals""; ""References""; ""A survey of equivariant map algebras with open problems""; ""Introduction""; ""1. General equivariant map algebras""; ""2. Equivariant map associative algebras""; ""3. Equivariant map Lie algebras""; ""4. Open problems""; ""References"" ""Simplicity and similarity of Kirillov-Reshetikhin crystals"" |
Record Nr. | UNINA-9910480021203321 |
Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Recent developments in algebraic and combinatorial aspects of representation theory : International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, August 12-16, 2010, National Institute of Advanced Studies, Bangalore, India : Conference on Algebraic and Combinatorial Approaches to Representation Theory, May 18-20, 2012, University of California, Riverside, CA / / Vyjayanthi Chari [and four others], editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
Descrizione fisica | 1 online resource (222 p.) |
Disciplina | 515/.7223 |
Collana | Contemporary mathematics |
Soggetto topico |
Associative rings
Partially ordered sets Nonassociative rings |
ISBN | 1-4704-1105-9 |
Classificazione | 16G2016S3016S3217B1017B3717B6717B6920G43 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- Kostka systems and exotic -structures for reflection groups -- The doublet vertex operator superalgebras ( ) and _{2, } -- Quantum deformations of irreducible representations of ( ) toward the Kronecker problem -- A Parametric Family of Subalgebras of the Weyl Algebra II. Irreducible Modules -- Generic extensions and composition monoids of cyclic quivers -- Wedge modules for two-parameter quantum groups -- Blocks of the truncated -Schur algebras of type A -- Decorated Geometric Crystals, Polyhedral and Monomial Realizations of Crystal Bases -- A survey of equivariant map algebras with open problems -- Simplicity and similarity of Kirillov-Reshetikhin crystals -- Forced gradings and the Humphreys-Verma conjecture. |
Record Nr. | UNINA-9910796032203321 |
Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Recent developments in algebraic and combinatorial aspects of representation theory : International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, August 12-16, 2010, National Institute of Advanced Studies, Bangalore, India : Conference on Algebraic and Combinatorial Approaches to Representation Theory, May 18-20, 2012, University of California, Riverside, CA / / Vyjayanthi Chari [and four others], editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
Descrizione fisica | 1 online resource (222 p.) |
Disciplina | 515/.7223 |
Collana | Contemporary mathematics |
Soggetto topico |
Associative rings
Partially ordered sets Nonassociative rings |
ISBN | 1-4704-1105-9 |
Classificazione | 16G2016S3016S3217B1017B3717B6717B6920G43 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- Kostka systems and exotic -structures for reflection groups -- The doublet vertex operator superalgebras ( ) and _{2, } -- Quantum deformations of irreducible representations of ( ) toward the Kronecker problem -- A Parametric Family of Subalgebras of the Weyl Algebra II. Irreducible Modules -- Generic extensions and composition monoids of cyclic quivers -- Wedge modules for two-parameter quantum groups -- Blocks of the truncated -Schur algebras of type A -- Decorated Geometric Crystals, Polyhedral and Monomial Realizations of Crystal Bases -- A survey of equivariant map algebras with open problems -- Simplicity and similarity of Kirillov-Reshetikhin crystals -- Forced gradings and the Humphreys-Verma conjecture. |
Record Nr. | UNINA-9910812533803321 |
Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Recent developments in representation theory : Maurice Auslander Distinguished Lectures and International Conference, May 1-6, 2014 : Woods Hole Oceanographic Institute, Woods Hole, MA / / Alex Martsinkovsky, Gordana Todorov, Kiyoshi Igusa, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2016 |
Descrizione fisica | 1 online resource (258 pages) : illustrations |
Disciplina | 515/.7223 |
Collana | Contemporary Mathematics |
Soggetto topico |
Associative rings
Representations of rings (Algebra) |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-3530-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910480732503321 |
Providence, Rhode Island : , : American Mathematical Society, , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Recent developments in representation theory : Maurice Auslander Distinguished Lectures and International Conference, May 1-6, 2014 : Woods Hole Oceanographic Institute, Woods Hole, MA / / Alex Martsinkovsky, Gordana Todorov, Kiyoshi Igusa, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2016 |
Descrizione fisica | 1 online resource (258 pages) : illustrations |
Disciplina | 515/.7223 |
Collana | Contemporary Mathematics |
Soggetto topico |
Associative rings
Representations of rings (Algebra) |
ISBN | 1-4704-3530-6 |
Classificazione | 16G1016G2016G7016T0514N15 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910794872203321 |
Providence, Rhode Island : , : American Mathematical Society, , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Recent developments in representation theory : Maurice Auslander Distinguished Lectures and International Conference, May 1-6, 2014 : Woods Hole Oceanographic Institute, Woods Hole, MA / / Alex Martsinkovsky, Gordana Todorov, Kiyoshi Igusa, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2016 |
Descrizione fisica | 1 online resource (258 pages) : illustrations |
Disciplina | 515/.7223 |
Collana | Contemporary Mathematics |
Soggetto topico |
Associative rings
Representations of rings (Algebra) |
ISBN | 1-4704-3530-6 |
Classificazione | 16G1016G2016G7016T0514N15 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910807266703321 |
Providence, Rhode Island : , : American Mathematical Society, , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Representation theory and mathematical physics : conference in honor of Gregg Zuckerman's 60th birthday, October 24-27, 2009, Yale University / / Jeffrey Adams, Bong Lian, Siddhartha Sahi, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
Descrizione fisica | 1 online resource (404 p.) |
Disciplina | 515/.7223 |
Collana | Contemporary mathematics |
Soggetto topico |
Linear algebraic groups
Representations of Lie groups Mathematical physics |
Soggetto genere / forma | Electronic books. |
ISBN | 0-8218-8236-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Preface""; ""Expository Papers""; ""The Plancherel Formula, the Plancherel Theorem, and the Fourier Transform of Orbital Integrals""; ""Branching Problems of Zuckerman Derived Functor Modules""; ""Chiral Equivariant Cohomology of Spheres""; ""1. Introduction""; ""2. Homotopy invariance""; ""3. Conformal and quasi-conformal structures""; ""4. Chiral equivariant cohomology of homogeneous spaces""; ""5. Finite-dimensionality of Hâ??G(M) for compact M""; ""6. Chiral equivariant cohomology of spheres""; ""7. The chiral point algebra""; ""Research Papers""
""Computing Global Characters""""Stable Combinations of Special Unipotent Representations""; ""Levi Components of Parabolic Subalgebras of Finitary Lie Algebras""; ""On Extending the Langlands-Shahidi Method to Arithmetic Quotients of Loop Groups""; ""The Measurement of Quantum Entanglement and Enumeration of Graph Coverings""; ""The Dual Pair (Op,q,OSp2,2) and Zuckerman Translation""; ""On the Algebraic Set of Singular Elements in a Complex Simple Lie Algebra""; ""An Explicit Embedding of Gravity and the Standard Model in E8""; ""From Groups to Symmetric Spaces""; ""1. Notation."" ""2. Almost diagonal symmetric spaces.""""3. A generalization of Schur's lemma.""; ""4. Elliptic curves arising from a symmetric space.""; ""5. Dimension of a nilpotent orbit.""; ""6. Some intersection cohomology sheaves.""; ""7. Generalization of a theorem of Steinberg.""; ""8. F-thin, F-thick nilpotent orbits.""; ""9. F-thin nilpotent orbits and affine canonical bases.""; ""10. Character sheaves on p.""; ""11. Computation of a Fourier transform.""; ""12. Another computation of a Fourier transform.""; ""13. Computation of a Deligne-Fourier transform."" |
Record Nr. | UNINA-9910480167503321 |
Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Representation theory and mathematical physics : conference in honor of Gregg Zuckerman's 60th birthday, October 24-27, 2009, Yale University / / Jeffrey Adams, Bong Lian, Siddhartha Sahi, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
Descrizione fisica | 1 online resource (404 p.) |
Disciplina | 515/.7223 |
Collana | Contemporary mathematics |
Soggetto topico |
Linear algebraic groups
Representations of Lie groups Mathematical physics |
ISBN | 0-8218-8236-8 |
Classificazione | 22E4522E4622E4717B6517B6817B6933D52 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Contents -- Preface -- Expository Papers -- The Plancherel Formula, the Plancherel Theorem, and the Fourier Transform of Orbital Integrals -- Branching Problems of Zuckerman Derived Functor Modules -- Chiral Equivariant Cohomology of Spheres -- 1. Introduction -- 2. Homotopy invariance -- 3. Conformal and quasi-conformal structures -- 4. Chiral equivariant cohomology of homogeneous spaces -- 5. Finite-dimensionality of Hâ??G(M) for compact M -- 6. Chiral equivariant cohomology of spheres -- 7. The chiral point algebra -- Research Papers -- Computing Global Characters -- Stable Combinations of Special Unipotent Representations -- Levi Components of Parabolic Subalgebras of Finitary Lie Algebras -- On Extending the Langlands-Shahidi Method to Arithmetic Quotients of Loop Groups -- The Measurement of Quantum Entanglement and Enumeration of Graph Coverings -- The Dual Pair (Op,q,OSp2,2) and Zuckerman Translation -- On the Algebraic Set of Singular Elements in a Complex Simple Lie Algebra -- An Explicit Embedding of Gravity and the Standard Model in E8 -- From Groups to Symmetric Spaces -- 1. Notation -- 2. Almost diagonal symmetric spaces -- 3. A generalization of Schur's lemma -- 4. Elliptic curves arising from a symmetric space -- 5. Dimension of a nilpotent orbit -- 6. Some intersection cohomology sheaves -- 7. Generalization of a theorem of Steinberg -- 8. F-thin, F-thick nilpotent orbits -- 9. F-thin nilpotent orbits and affine canonical bases -- 10. Character sheaves on p -- 11. Computation of a Fourier transform -- 12. Another computation of a Fourier transform -- 13. Computation of a Deligne-Fourier transform. |
Record Nr. | UNINA-9910788636403321 |
Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Representation theory and mathematical physics : conference in honor of Gregg Zuckerman's 60th birthday, October 24-27, 2009, Yale University / / Jeffrey Adams, Bong Lian, Siddhartha Sahi, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
Descrizione fisica | 1 online resource (404 p.) |
Disciplina | 515/.7223 |
Collana | Contemporary mathematics |
Soggetto topico |
Linear algebraic groups
Representations of Lie groups Mathematical physics |
ISBN | 0-8218-8236-8 |
Classificazione | 22E4522E4622E4717B6517B6817B6933D52 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Contents -- Preface -- Expository Papers -- The Plancherel Formula, the Plancherel Theorem, and the Fourier Transform of Orbital Integrals -- Branching Problems of Zuckerman Derived Functor Modules -- Chiral Equivariant Cohomology of Spheres -- 1. Introduction -- 2. Homotopy invariance -- 3. Conformal and quasi-conformal structures -- 4. Chiral equivariant cohomology of homogeneous spaces -- 5. Finite-dimensionality of Hâ??G(M) for compact M -- 6. Chiral equivariant cohomology of spheres -- 7. The chiral point algebra -- Research Papers -- Computing Global Characters -- Stable Combinations of Special Unipotent Representations -- Levi Components of Parabolic Subalgebras of Finitary Lie Algebras -- On Extending the Langlands-Shahidi Method to Arithmetic Quotients of Loop Groups -- The Measurement of Quantum Entanglement and Enumeration of Graph Coverings -- The Dual Pair (Op,q,OSp2,2) and Zuckerman Translation -- On the Algebraic Set of Singular Elements in a Complex Simple Lie Algebra -- An Explicit Embedding of Gravity and the Standard Model in E8 -- From Groups to Symmetric Spaces -- 1. Notation -- 2. Almost diagonal symmetric spaces -- 3. A generalization of Schur's lemma -- 4. Elliptic curves arising from a symmetric space -- 5. Dimension of a nilpotent orbit -- 6. Some intersection cohomology sheaves -- 7. Generalization of a theorem of Steinberg -- 8. F-thin, F-thick nilpotent orbits -- 9. F-thin nilpotent orbits and affine canonical bases -- 10. Character sheaves on p -- 11. Computation of a Fourier transform -- 12. Another computation of a Fourier transform -- 13. Computation of a Deligne-Fourier transform. |
Record Nr. | UNINA-9910815372703321 |
Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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The solution of the k(GV) problem [[electronic resource] /] / Peter Schmid |
Autore | Schmid Peter <1941-> |
Pubbl/distr/stampa | London, : Imperial College Press |
Descrizione fisica | 1 online resource (248 p.) |
Disciplina | 515/.7223 |
Collana | ICP advanced texts in mathematics |
Soggetto topico | Kernel functions |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-86946-5
9786611869465 1-86094-971-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents; Preface; 1. Conjugacy Classes, Characters, and Clifford Theory; 1.1 Class Functions and Characters; 1.2 Induced and Tensor-induced Modules; 1.3 Schur's Lemma; 1.4 Brauer's Permutation Lemma; 1.5 Algebraic Conjugacy; 1.6 Coprime Actions; 1.7 Invariant and Good Conjugacy Classes; 1.8 Nonstable Clifford Theory; 1.9 Stable Clifford Theory; 1.10 Good Conjugacy Classes and Extendible Characters; 2. Blocks of Characters and Brauer's k(B) Problem; 2.1 Modular Decomposition and Brauer Characters; 2.2 Cartan Invariants and Blocks; 2.3 Defect and Defect Groups; 2.4 The Brauer-Feit Theorem
2.5 Higher Decomposition Numbers, Subsections2.6 Blocks of p-Solvable Groups; 2.7 Coprime FpX-Modules; 3. The k(GV ) Problem; 3.1 Preliminaries; 3.2 Transitive Linear Groups; 3.3 Subsections and Point Stabilizers; 3.4 Abelian Point Stabilizers; 4. Symplectic and Orthogonal Modules; 4.1 Self-dual Modules; 4.2 Extraspecial Groups; 4.3 Holomorphs; 4.4 Good Conjugacy Classes Once Again; 4.5 Some Weil Characters; 4.6 Symplectic and Orthogonal Modules; 5. Real Vectors; 5.1 Regular, Abelian and Real Vectors; 5.2 The Robinson{Thompson Theorem; 5.3 Search for Real Vectors; 5.4 Clifford Reduction 5.5 Reduced Pairs5.6 Counting Methods; 5.7 Two Examples; 6. Reduced Pairs of Extraspecial Type; 6.1 Nonreal Reduced Pairs; 6.2 Fixed Point Ratios; 6.3 Point Stabilizers of Exponent 2; 6.4 Characteristic 2; 6.5 Extraspecial 3-Groups; 6.6 Extraspecial 2-Groups of Small Order; 6.7 The Remaining Cases; 7. Reduced Pairs of Quasisimple Type; 7.1 Nonreal Reduced Pairs; 7.2 Regular Orbits; 7.3 Covering Numbers, Projective Marks; 7.4 Sporadic Groups; 7.5 Alternating Groups; 7.6 Linear Groups; 7.7 Symplectic Groups; 7.8 Unitary Groups; 7.9 Orthogonal Groups; 7.10 Exceptional Groups 8. Modules without Real Vectors8.1 Some Fixed Point Ratios; 8.2 Tensor Induction of Reduced Pairs; 8.3 Tensor Products of Reduced Pairs; 8.4 The Riese-Schmid Theorem; 8.5 Nonreal Induced Pairs, Wreath Products; 9. Class Numbers of Permutation Groups; 9.1. The Partition Function; 9.2 Preparatory Results; 9.3 The Liebeck-Pyber Theorem; 9.4 Improvements; 10. The Final Stages of the Proof; 10.1 Class Numbers for Nonreal Reduced Pairs; 10.2 Counting Invariant Conjugacy Classes; 10.3 Nonreal Induced Pairs; 10.4 Characteristic 5; 10.5 Summary; 11. Possibilities for k(GV ) = jV j; 11.1 Preliminaries 11.2 Some Congruences11.3 Reduced Pairs; 12. Some Consequences for Block Theory; 12.1 Brauer Correspondence; 12.2 Clifford Theory of Blocks; 12.3 Blocks with Normal Defect Groups; 13. The Non-Coprime Situation; Appendix A: Cohomology of Finite Groups; Appendix B: Some Parabolic Subgroups; Appendix C: Weil Characters; Bibliography; List of Symbols; Index |
Record Nr. | UNINA-9910458318403321 |
Schmid Peter <1941-> | ||
London, : Imperial College Press | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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