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

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