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

Laura Rider; Amber Russell

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

Representation Theory 2016-11-07 v3

Authors: Laura Rider , Amber Russell

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.

Keywords

perverse sheaves nilpotent cone Springer correspondence character sheaves orthogonality relations cuspidal sheaves Lusztig--Shoji algorithm

Cite

@article{arxiv.1409.7132,
  title  = {Perverse Sheaves on the Nilpotent Cone and Lusztig's Generalized Springer Correspondence},
  author = {Laura Rider and Amber Russell},
  journal= {arXiv preprint arXiv:1409.7132},
  year   = {2016}
}

Comments

18 pages, minor typos corrected

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