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.
The Bruhat order on abelian ideals of Borel subalgebras / Gandini, Jacopo; Maffei, Andrea; Möseneder Frajria, Pierluigi; Papi, Paolo. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - STAMPA. - 373:10(2020), pp. 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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