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arXiv · 1109.4501

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

Paola Cellini·Pierluigi Moseneder Frajria·Paolo Papi·Marco Pasquali
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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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Paola Cellini, Pierluigi Moseneder Frajria, Paolo Papi, Marco Pasquali. 2011-09-21. On the structure of Borel stable abelian subalgebras in infinitesimal symmetric spaces. https://doi.org/10.1007/s00029-012-0097-z

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