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Representations of Lie Algebras, Quantum Groups and Related Topics.
This volume contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held from November 12-13, 2016, at North Carolina State University, Raleigh, North Carolina. The articles cover various aspects of representations of Kac-Moody Lie a...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2018.
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| Colección: | Contemporary Mathematics Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title page; Contents; Preface; The two bosonizations of the CKP hierarchy: Overview and character identities; 1. Introduction; 2. The CKP hierarchy and its two bosonizations: overview; 3. Graded dimensions and character identities; 4. Appendix; References; Inhomogeneous supersymmetric bilinear forms; 1. Introduction; 2. Invariants; 3. Classification up to dimension 7; 4. Oscillator Lie superalgebras; Acknowledgments; References; Imaginary crystal bases for _{ }(̂ (2))-modules in category ^{ }_{ /!, }; 1. Introduction; 2. Quantum affine algebra _{ }(̂ (2)).
- Gelfand-Tsetlin modules of (3) in the principal block1. Introduction; 2. Gelfand-Tsetlin modules for (); 3. Gelfand-Tsetlin modules with tableaux realization for (); 4. Irreducible Gelfand-Tsetlin modules in the principal block; 5. ₂₁-localization of Gelfand-Tsetlin modules in the principal block; Acknowledgments; References; Fusion rings revisited; 1. Kac-Moody algebras of affine types; 2. Fusion rings associated to Kac-Moody algebras of affine types; 3. Twining formula and Verlinde formula; 4. Proofs; 5. Modular S-matrix; Acknowledgments; References.
- Kostant-Lusztig -bases of multiparameter quantum groups1. Introduction; 2. Generalized quantum groups; 3. Kostant-Lusztig \bA-form; Acknowledgments; References; Catalan triangle numbers and binomial coefficients; 1. Introduction; 2. Catalan expansion of binomial coefficients; 3. Alternating Jacobsthal triangle; 4.-deformation; 5.-analogue of -deformation; Acknowledgments; References; Walk algebras, distinguished subexpressions, and point counting in Kac-Moody flag varieties; 1. Introduction; 2. Notation and preliminaries; 3. Hecke algebras and walk algebras.
- 4. Change of basis formula5. Counting points in Kac-Moody flag varieties; 6. Some connections to other work; Acknowledgments; References; Critical points of master functions and mKdV hierarchy of type ⁽²⁾_{2 }; 1. Introduction; 2. Kac-Moody algebra of type _{2 }⁽¹⁾; 3. Kac-Moody algebra of type _{2 }⁽²⁾; 4. mKdV equations; 5. Tangent maps to Miura maps; 6. Critical points of master functions and generation of tuples of polynomials; 7. Critical points of master functions and Miura opers; 8. Vector fields; Acknowledgments; References; Back Cover.