On the structure of Borel stable abelian subalgebras in infinitesimal symmetric spaces

Published 21 Sep 2011 in math.RT and math.CO | (1109.4501v2)

Abstract: Let g=g_0+g_1 be a Z_2-graded Lie algebra. We study the posets of abelian subalgebras of g_1 which are stable w.r.t. a Borel subalgebra of g_0. In particular, we find out a natural parametrization of maximal elements and dimension formulas for them. We recover as special cases several results of Kostant, Panyushev, Suter.

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