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 [b, b], we parametrize the B-orbits in a and we describe their closure relations.
Gandini, J., Maffei, A., Möseneder Frajria, P., Papi, P. (2020). The Bruhat order on abelian ideals of Borel subalgebras. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 373(10), 6999-7018 [10.1090/tran/8092].
The Bruhat order on abelian ideals of Borel subalgebras
Gandini, Jacopo;
2020
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 [b, b], we parametrize the B-orbits in a and we describe their closure relations.File in questo prodotto:
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