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arXiv · 1806.08622

The Bruhat order on abelian ideals of Borel subalgebras

Jacopo Gandini·Andrea Maffei·Pierluigi Moseneder Frajria·Paolo Papi
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Abstract

Let G be a quasi simple algebraic group over an algebraically closed field k whose characteristic is not very bad for G, and let B be a Borel subgroup of G with Lie algebra b. Given a B-stable abelian subalgebra a of the nilradical of b, we parametrize the B-orbits in a and we describe their closure relations.

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Jacopo Gandini, Andrea Maffei, Pierluigi Moseneder Frajria, Paolo Papi. 2018-06-22. The Bruhat order on abelian ideals of Borel subalgebras. https://arxiv.org/abs/1806.08622

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