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Mathematics > Representation Theory
Title: Exterior powers of a parabolic Springer sheaf on a Lie algebra
(Submitted on 4 Sep 2022 (v1), last revised 28 Mar 2024 (this version, v2))
Abstract: We compute the exterior powers, with respect to the additive convolution on the general linear Lie algebra, of a parabolic Springer sheaf corresponding to a maximal parabolic subgroup of type (1, n -- 1). They turn out to be isomorphic to the semisimple perverse sheaves attached by the Springer correspondence to the exterior powers of the permutation representation of the symmetric group.
Submission history
From: Kostiantyn Tolmachov [view email][v1] Sun, 4 Sep 2022 12:04:08 GMT (25kb)
[v2] Thu, 28 Mar 2024 14:21:31 GMT (7kb)
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