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Journal Articles Journal of the European Mathematical Society Year : 2016

Modular generalized Springer correspondence I: the general linear group

Abstract

We define a generalized Springer correspondence for the group GL(n) over any field. We also determine the cuspidal pairs, and compute the correspondence explicitly. Finally we define a stratification of the category of equivariant perverse sheaves on the nilpotent cone of GL(n) satisfying the 'recollement' properties, and with subquotients equivalent to categories of representations of a product of symmetric groups.
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Dates and versions

hal-00843303 , version 1 (11-07-2013)
hal-00843303 , version 2 (01-04-2014)
hal-00843303 , version 3 (24-04-2014)

Identifiers

  • HAL Id : hal-00843303 , version 3

Cite

Pramod N. Achar, Anthony Henderson, Daniel Juteau, Simon Riche. Modular generalized Springer correspondence I: the general linear group. Journal of the European Mathematical Society, 2016, 18, pp.1405-1436. ⟨hal-00843303v3⟩
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