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Kac-Moody groups, their flag varieties, and representation theory

Kac-Moody groups, their flag varieties, and representation theory

자료유형
단행본
개인저자
Kumar, S. (Shrawan), 1953-
서명 / 저자사항
Kac-Moody groups, their flag varieties, and representation theory / Shrawan Kumar.
발행사항
Boston :   Birkha<user,   c2002.  
형태사항
xiii, 606 p. ; 25 cm.
총서사항
Progress in mathematics ; v. 204
ISBN
0817642277 (acid-free paper) 3764342277 (acid-free paper)
서지주기
Includes bibliographical references (p. [559]-589) and indexes.
일반주제명
Kac-Moody algebras. Representations of groups. Flag manifolds.
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100 1 ▼a Kumar, S. ▼q (Shrawan), ▼d 1953-
245 1 0 ▼a Kac-Moody groups, their flag varieties, and representation theory / ▼c Shrawan Kumar.
260 ▼a Boston : ▼b Birkha<user, ▼c c2002.
300 ▼a xiii, 606 p. ; ▼c 25 cm.
490 1 ▼a Progress in mathematics ; ▼v v. 204
504 ▼a Includes bibliographical references (p. [559]-589) and indexes.
650 0 ▼a Kac-Moody algebras.
650 0 ▼a Representations of groups.
650 0 ▼a Flag manifolds.
830 0 ▼a Progress in mathematics (Boston, Mass.) ; ▼v v. 204.
938 ▼a Otto Harrassowitz ▼b HARR ▼n har015026048 ▼c 108.00 DEM

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 512.55 K96k 등록번호 121078826 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차

Introduction Kac--Moody Algebras -- Basic Theory Representation Theory of Kac--Moody Algebras Lie Algebra Homology and Cohomology An Introduction to ind-Varieties and pro-Groups Tits Systems -- Basic Theory Kac--Moody Groups -- Basic Theory Generalized Flag Varieties of Kac--Moody Groups Demazure and Weyl--Kac Character Formulas BGG and Kempf Resolutions Defining Equations of G/P and Conjugacy Theorems Topology of Kac-Moody Groups and Their Flag Varieties Smoothness and Rational Smoothness of Schubert Varieties An Introduction to Affine Kac-Moody Lie Algebras and Groups Appendix A. Results from Algebraic Geometry Appendix B. Local Cohomology Appendix C. Results from Topology Appendix D. Relative Homological Algebra Appendix E. An Introduction to Spectral Sequences Bibliography Index of Notation Index


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