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
Recommended Citation
Achar, P., Henderson, A., Juteau, D., & Riche, S. (2016). Modular generalized Springer correspondence I: The general linear group. Journal of the European Mathematical Society, 18 (7), 1405-1436. https://doi.org/10.4171/JEMS/618
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