Imaginary Verma Modules for Affine Lie Algebras

Canadian Mathematical Bulletin - Tập 37 Số 2 - Trang 213-218 - 1994
Vyacheslav Futorny1
1Department of Mathematics, Queen’s University Kingston, Ontario K7L 3N6

Tóm tắt

AbstractWe study a class of irreducible modules for Affine Lie algebras which possess weight spaces of both finite and infinite dimensions. These modules appear as the quotients of "imaginary Verma modules" induced from the "imaginary Borel subalgebra".

Từ khóa


Tài liệu tham khảo

Futorny, 1991, On imaginary Verma modules over the Affine Lie algebra

Spirin, 1987, -graded modules with one-dimensional components over the Lie algebra, 21, 84

Futorny, 1992, The parabolic subsets of root systems and corresponding representations of Affine Lie algebras,, 131, 45

Jakobsen, 1989, A new class of unitarizable highest weight representations of infinite-dimensional Lie algebras,, 82, 69

Futorny V. M. , Modules of Verma type for Affine Lie algebras, Funktsional. Anal, i Prilozhen., to appear.

Futorny, 1990, Root systems, representations and geometries, 8, 30

10.1017/CBO9780511626234

Jakobsen, 1985, A new class of unitarizable highest weight representations of infinitedimensional Lie algebras, 226, 1