Representation Theories and Algebraic Geometry:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Dordrecht
Springer Netherlands
1998
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Schriftenreihe: | Nato ASI Series, Series C: Mathematical and Physical Sciences
514 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, Hecke algebras, restricted Lie algebras, and their companions. This interplay has been extensively exploited during recent years, resulting in great progress in these representation theories. Conversely, a great stimulus has been given to the development of such geometric theories as D-modules, perverse sheafs and equivariant intersection cohomology. The range of topics covered is wide, from equivariant Chow groups, decomposition classes and Schubert varieties, multiplicity free actions, convolution algebras, standard monomial theory, and canonical bases, to annihilators of quantum Verma modules, modular representation theory of Lie algebras and combinatorics of representation categories of Harish-Chandra modules |
Beschreibung: | 1 Online-Ressource (XXII, 444 p) |
ISBN: | 9789401591317 9789048150755 |
ISSN: | 1389-2185 |
DOI: | 10.1007/978-94-015-9131-7 |
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author | Broer, Abraham |
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discipline | Physik Mathematik |
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format | Electronic eBook |
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spelling | Broer, Abraham Verfasser aut Representation Theories and Algebraic Geometry edited by Abraham Broer, A. Daigneault, Gert Sabidussi Proceedings of the NATO Advanced Study Institute, Montreal, Canada, July 28-August 8, 1997 Dordrecht Springer Netherlands 1998 1 Online-Ressource (XXII, 444 p) txt rdacontent c rdamedia cr rdacarrier Nato ASI Series, Series C: Mathematical and Physical Sciences 514 1389-2185 The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, Hecke algebras, restricted Lie algebras, and their companions. This interplay has been extensively exploited during recent years, resulting in great progress in these representation theories. Conversely, a great stimulus has been given to the development of such geometric theories as D-modules, perverse sheafs and equivariant intersection cohomology. The range of topics covered is wide, from equivariant Chow groups, decomposition classes and Schubert varieties, multiplicity free actions, convolution algebras, standard monomial theory, and canonical bases, to annihilators of quantum Verma modules, modular representation theory of Lie algebras and combinatorics of representation categories of Harish-Chandra modules Mathematics Geometry, algebraic Group theory Algebra Topological Groups Group Theory and Generalizations Algebraic Geometry Topological Groups, Lie Groups Non-associative Rings and Algebras Mathematik 1\p (DE-588)1071861417 Konferenzschrift gnd-content Daigneault, A. Sonstige oth Sabidussi, Gert Sonstige oth https://doi.org/10.1007/978-94-015-9131-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Broer, Abraham Representation Theories and Algebraic Geometry Mathematics Geometry, algebraic Group theory Algebra Topological Groups Group Theory and Generalizations Algebraic Geometry Topological Groups, Lie Groups Non-associative Rings and Algebras Mathematik |
subject_GND | (DE-588)1071861417 |
title | Representation Theories and Algebraic Geometry |
title_alt | Proceedings of the NATO Advanced Study Institute, Montreal, Canada, July 28-August 8, 1997 |
title_auth | Representation Theories and Algebraic Geometry |
title_exact_search | Representation Theories and Algebraic Geometry |
title_full | Representation Theories and Algebraic Geometry edited by Abraham Broer, A. Daigneault, Gert Sabidussi |
title_fullStr | Representation Theories and Algebraic Geometry edited by Abraham Broer, A. Daigneault, Gert Sabidussi |
title_full_unstemmed | Representation Theories and Algebraic Geometry edited by Abraham Broer, A. Daigneault, Gert Sabidussi |
title_short | Representation Theories and Algebraic Geometry |
title_sort | representation theories and algebraic geometry |
topic | Mathematics Geometry, algebraic Group theory Algebra Topological Groups Group Theory and Generalizations Algebraic Geometry Topological Groups, Lie Groups Non-associative Rings and Algebras Mathematik |
topic_facet | Mathematics Geometry, algebraic Group theory Algebra Topological Groups Group Theory and Generalizations Algebraic Geometry Topological Groups, Lie Groups Non-associative Rings and Algebras Mathematik Konferenzschrift |
url | https://doi.org/10.1007/978-94-015-9131-7 |
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