Title

Modular generalized Springer correspondence I: The general linear group

Document Type

Article

Publication Date

1-1-2016

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.

Publication Source (Journal or Book title)

Journal of the European Mathematical Society

First Page

1405

Last Page

1436

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