Abelian subalgebras in Z_2-graded Lie algebras and affine Weyl groups

Abstract

Let g=g_0+ g_1 be a simple Z_2-graded Lie algebra and let b_0 be a fixed Borel subalgebra of g_0. We describe and enumerate the abelian b_0-stable subalgebras of g_1.

21 pages, amstex file. Minor corrections. Introduction slightly expanded. To appear in IMRN

References in corpus (1)

• Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra