Some intersection properties of the fibres of Springer’s resolution

Wolper, James S.

doi:10.1090/S0002-9939-1984-0740166-8

Some intersection properties of the fibres of Springer's resolution

Author: James S. Wolper
Journal: Proc. Amer. Math. Soc. 91 (1984), 182-188
MSC: Primary 20G99; Secondary 14L30
DOI: https://doi.org/10.1090/S0002-9939-1984-0740166-8
MathSciNet review: 740166
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Abstract: Combinatorial results are used to calculate the dimension of the intersection of any two irreducible components of the set in the flag variety fixed by the action of a unipotent element of ${\text{G}}{{\text{L}}_n}$ whose Jordan decomposition has two blocks. This is then related to the "left cells" of Kazhdan and Lusztig, which are used to construct representations of ${S_n}$ , the Weyl group of ${\text{G}}{{\text{L}}_n}$ .

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