
Representation Theories and Algebraic Geometry
A. Broer(Editor)
Springer (Publisher)
Published on 15. December 2010
Book
Paperback/Softback
XXII, 444 pages
978-90-481-5075-5 (ISBN)
Description
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.
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.
More details
Series
Edition
Softcover reprint of hardcover 1st ed. 1998
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
XXII, 444 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 26 mm
Weight
703 gr
ISBN-13
978-90-481-5075-5 (9789048150755)
DOI
10.1007/978-94-015-9131-7
Schweitzer Classification
Other editions
Additional editions

Book
07/1998
Kluwer Academic Publishers
€213.99
Shipment within 15-20 days
Persons
Content
Equivariant cohomology and equivariant intersection theory.- Lectures on decomposition classes.- Instantons and Kähler geometry of nilpotent orbits.- Geometric methods in the representation theory of Hecke algebras and quantum groups.- Representations of Lie algebras in prime characteristic.- Sur l'annulateur d'un module de Verma.- Some remarks on multiplicity free spaces.- Standard Monomial Theory and applications.- Canonical bases and Hall algebras.- Combinatorics of Harish-Chandra modules.- Schubert varieties and generalizations.