TWO-SIDED BGG RESOLUTIONS OF ADMISSIBLE REPRESENTATIONS

被引：15

作者：

Arakawa, Tomoyuki ^{[1
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

来源：

REPRESENTATION THEORY | 2014年 / 18卷

关键词：

LIE-ALGEBRA COHOMOLOGY; FOCK REPRESENTATIONS; KAC; VIRASORO; MODULES;

D O I：

10.1090/S1088-4165-2014-00454-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the conjecture of Frenkel, Kac and Wakimoto on the existence of two-sided BGG resolutions of G-integrable admissible representations of affine Kac-Moody algebras at fractional levels. As an application we establish the semi-infinite analogue of the generalized Borel-Weil theorem for minimal parabolic subalgebras which enables an inductive study of admissible representations.

引用

页码：183 / 222

页数：40

共 41 条

[1] Adamovic D, 1995, MATH RES LETT, V2, P563
[2] Andersen H. H., 2003, PROGR MATH, V210, P1
[3] Andersen Henning Haahr, 2003, THEORY, V7, P681, DOI [10.1090/S1088-4165-03-00189-4, DOI 10.1090/S1088-4165-03-00189-4]
[4] [Anonymous], ARXIVQALG9703010
[5] [Anonymous], USPEKHI MAT NAUK
[6] [Anonymous], ARXIV10041554MATHQA
[7] [Anonymous], 2004, INT MATH RES NOT
[8] Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture
Arakawa, T
[J]. DUKE MATHEMATICAL JOURNAL, 2005, 130 (03) : 435 - 478
[9] Arakawa T., ARXIV12074857MATHQA
[10] Arakawa T, 2007, INVENT MATH, V169, P219, DOI 10.1007/s00222-007-0046-1

← 1 2 3 4 5 →