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UNINA9910480110503321 |
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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 |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2014 |
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©2014 |
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ISBN |
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Descrizione fisica |
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1 online resource (384 p.) |
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Collana |
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Contemporary Mathematics, , 1098-3627 ; ; Volume 610 |
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Disciplina |
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Soggetti |
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Representations of algebras |
Lie algebras |
Representations of groups |
Group theory |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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""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"" |
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