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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



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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 Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 2014
©2014
Descrizione fisica: 1 online resource (384 p.)
Disciplina: 512/.22
Soggetto topico: Representations of algebras
Lie algebras
Representations of groups
Group theory
Soggetto genere / forma: Electronic books.
Persona (resp. second.): EtingofP. I <1969-> (Pavel I.)
KhovanovMikhail
SavageAlistair
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""
Titolo autorizzato: Perspectives in representation theory  Visualizza cluster
ISBN: 1-4704-1523-2
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910480110503321
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Serie: Contemporary mathematics (American Mathematical Society) ; ; Volume 610.