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D-Modules, Perverse Sheaves, and Representation Theory

D-modules continues to be an active area of stimulating research in such mathematical areas as algebra, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Hotta, Ryoshi (Autor), Takeuchi, Kiyoshi (Autor), Tanisaki, Toshiyuki (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2008.
Edición:1st ed. 2008.
Colección:Progress in Mathematics, 236
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a D-Modules, Perverse Sheaves, and Representation Theory  |h [electronic resource] /  |c by Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki. 
250 |a 1st ed. 2008. 
264 1 |a Boston, MA :  |b Birkhäuser Boston :  |b Imprint: Birkhäuser,  |c 2008. 
300 |a XI, 412 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Progress in Mathematics,  |x 2296-505X ;  |v 236 
505 0 |a D-Modules and Perverse Sheaves -- Preliminary Notions -- Coherent D-Modules -- Holonomic D-Modules -- Analytic D-Modules and the de Rham Functor -- Theory of Meromorphic Connections -- Regular Holonomic D-Modules -- Riemann-Hilbert Correspondence -- Perverse Sheaves -- Representation Theory -- Algebraic Groups and Lie Algebras -- Conjugacy Classes of Semisimple Lie Algebras -- Representations of Lie Algebras and D-Modules -- Character Formula of HighestWeight Modules -- Hecke Algebras and Hodge Modules. 
520 |a D-modules continues to be an active area of stimulating research in such mathematical areas as algebra, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. Significant concepts and topics that have emerged over the last few decades are presented, including a treatment of the theory of holonomic D-modules, perverse sheaves, the all-important Riemann-Hilbert correspondence, Hodge modules, and the solution to the Kazhdan-Lusztig conjecture using D-module theory. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, and representation theory. 
650 0 |a Algebra. 
650 0 |a Group theory. 
650 0 |a Topological groups. 
650 0 |a Lie groups. 
650 0 |a Commutative algebra. 
650 0 |a Commutative rings. 
650 0 |a Algebraic geometry. 
650 1 4 |a Algebra. 
650 2 4 |a Group Theory and Generalizations. 
650 2 4 |a Topological Groups and Lie Groups. 
650 2 4 |a Commutative Rings and Algebras. 
650 2 4 |a Algebraic Geometry. 
700 1 |a Takeuchi, Kiyoshi.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Tanisaki, Toshiyuki.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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830 0 |a Progress in Mathematics,  |x 2296-505X ;  |v 236 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-0-8176-4523-6  |z Texto Completo 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)