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Algebraic groups and their generalizations : quantum and infinite-dimensional methods : Summer Research Institute on Algebraic Groups and Their Generalizations, July 6-26, 1991, Pennsylvania State University, University Park, Pennsylvania / William J. Haboush, Brian J. Parshall, editors.
- Format:
- Book
- Conference/Event
- Author/Creator:
- Summer Research Institute on Algebraic Groups and Their Generalizations, Corporate Author.
- Conference Name:
- Summer Research Institute on Algebraic Groups and Their Generalizations (1991 : Pennsylvania State University), issuing body.
- Summer Research Institute on Algebraic Groups and Their Generalizations
- Series:
- Proceedings of symposia in pure mathematics ; volume 56, part 2.
- Proceedings of symposia in pure mathematics, 0082-0717 ; volume 56, part 2
- Language:
- English
- Subjects (All):
- Linear algebraic groups--Congresses.
- Linear algebraic groups.
- Quantum groups--Congresses.
- Quantum groups.
- Physical Description:
- 1 online resource (429 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1994]
- Language Note:
- English
- Summary:
- Proceedings of a research institute held at Pennsylvania State University, July 1991, focusing on quantum and infinite-dimensional methods of algebraic groups. Topics include perverse sheaves, finite Chevalley groups, the general theory of algebraic groups, representations, invariant theory, general
- Contents:
- ""Contents""; ""Part 2. Algebraic groups and their generalizations: Quantum and infinite-dimensional methods""; ""Â1. The general theory of quantum groups""; ""Finite dimensional representations of quantum groups""; ""An introduction to quantum groups""; ""Examples of compact matrix pseudogroups arising from Drinfel'd's twisting operation""; ""Face algebras and their Drinfeld doubles""; ""Representation theory for quantized enveloping algebras""; ""Rational representations of Hopf algebras""; ""Filtrations of modules over the quantum algebra""; ""Quantum groups as invariance groups""
- ""The quantum hyperalgebra of SL[sub(q)]2)""""Â2. Crystal bases""; ""IC bases and quantum linear groups""; ""Bases for quantum Demazure modules. II""; ""Problems on canonical bases""; ""Â3. Quantum groups and category theory""; ""2-categories and Zamolodchikov tetrahedra equations""; ""Â4. Vertex operator algebras, the moonshine module and related topics""; ""Abelian intertwining algebrasâ€?A generalization of vertex operator algebras""; ""Discrete series of the Virasoro algebra and the moonshine module""; ""Constructions of vertex operator algebras""
- ""Binary trees and finite-dimensional Lie algebras""""Â5. Infinite dimensional groups and Lie algebras""; ""Holomorphic line bundles over Hilbert flag varieties""; ""New classes of infinite-dimensional Lie groups""; ""On forms of Kac-Moody algebras""; ""Semi-infinite cohomology of Lie algebras""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on online resource; title from PDF title page (ebrary, viewed May 19, 2014).
- ISBN:
- 0-8218-9358-0
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