Perverse Sheaves on the Nilpotent Cone and Lusztig's Generalized Springer Correspondence

Laura Rider; Amber Russell

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arXiv · 1409.7132

Perverse Sheaves on the Nilpotent Cone and Lusztig's Generalized Springer Correspondence

Laura Rider·Amber Russell

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Abstract

In this note, we consider perverse sheaves on the nilpotent cone. We prove orthogonality relations for the equivariant category of sheaves on the nilpotent cone in a method similar to Lusztig's for character sheaves. We also consider cleanness for cuspidal perverse sheaves and the generalized Lusztig--Shoji algorithm.

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BibTeX RIS

Laura Rider, Amber Russell. 2014-09-25. Perverse Sheaves on the Nilpotent Cone and Lusztig's Generalized Springer Correspondence. https://arxiv.org/abs/1409.7132

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