Representation Theories and Algebraic Geometry 1998 Edition Contributor(s): Broer, A. (Editor), Sabidussi, Gert (Other) |
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ISBN: 0792351932 ISBN-13: 9780792351931 Publisher: Springer OUR PRICE: $208.99 Product Type: Hardcover - Other Formats Published: July 1998 Annotation: 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. |
Additional Information |
BISAC Categories: - Mathematics | Geometry - Algebraic - Mathematics | Group Theory - Mathematics | Algebra - General |
Dewey: 516.35 |
LCCN: 98028196 |
Series: NATO Science Series C: |
Physical Information: 1" H x 6.14" W x 9.21" (1.84 lbs) 444 pages |
Descriptions, Reviews, Etc. |
Publisher 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. |