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.

The Bruhat order on abelian ideals of Borel subalgebras

Möseneder Frajria, Pierluigi;
2020-01-01

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1144554
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