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arXiv · 1909.11539

Lusztig's strata are locally closed

Giovanna Carnovale
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Abstract

Let G be a connected reductive algebraic group over an algebraically closed field k. We consider the strata in G defined by Lusztig as fibers of a map given in terms truncated induction of Springer representations. We extend to arbitrary characteristic the following two results: Lusztig's strata are locally closed and the irreducible components of a stratum X are those sheets for the G-action on itself that are contained in X.

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Giovanna Carnovale. 2019-09-25. Lusztig's strata are locally closed. https://doi.org/10.1007/s00013-020-01448-1

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