On the structure of Borel stable abelian subalgebras in infinitesimal symmetric spaces
Abstract
Let g=g0+g1 be a Z2-graded Lie algebra. We study the posets of abelian subalgebras of g1 which are stable w.r.t. a Borel subalgebra of g0. 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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