| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910786541603321 |
|
|
Titolo |
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 |
|
©2014 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (384 p.) |
|
|
|
|
|
|
Collana |
|
Contemporary mathematics, , 1098-3627 ; ; 610 , 0271-4132 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Representations of algebras |
Lie algebras |
Representations of groups |
Group theory |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references. |
|
|
|
|
|
|
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. |
|
|
|
|
|
| |