Irreducible components of two-row Springer fibers for all classical types

Im, Mee Seong; Lai, Chun-Ju; Wilbert, Arik

doi:10.1090/proc/15965

Irreducible components of two-row Springer fibers for all classical types
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by Mee Seong Im, Chun-Ju Lai and Arik Wilbert PDF

Proc. Amer. Math. Soc. 150 (2022), 2415-2432 Request permission

Abstract:

We give an explicit description of the irreducible components of two-row Springer fibers for all classical types using cup diagrams. Cup diagrams can be used to label the irreducible components of two-row Springer fibers. We use these diagrams to explicitly write down relations between the vector spaces of the flags contained in a given irreducible component. This generalizes results by Stroppel–Webster and Fung for type A to all classical types.

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