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

Paola Cellini·Pierluigi Moseneder Frajria·Paolo Papi
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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.

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Paola Cellini, Pierluigi Moseneder Frajria, Paolo Papi. 2004-03-04. Abelian subalgebras in Z_2-graded Lie algebras and affine Weyl groups. https://arxiv.org/abs/math/0311406

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