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VOL. 71 | 2016 Character sheaves on exotic symmetric spaces and Kostka polynomials
Toshiaki Shoji

Editor(s) Hiroshi Naruse, Takeshi Ikeda, Mikiya Masuda, Toshiyuki Tanisaki

Abstract

This paper is a survey on a joint work with K. Sorlin concerning the theory of character sheaves on the exotic symmetric space. After explaining the historical background, we introduce character sheaves on this variety. By using those character sheaves, we show that modified Kostka polynomials, indexed by a pair of double partitions, can be interpreted in terms of the intersection cohomology of the orbits in the exotic nilpotent cone, as conjectured in Achar-Henderson.

Information

Published: 1 January 2016
First available in Project Euclid: 4 October 2018

zbMATH: 1378.14046
MathSciNet: MR3644831

Digital Object Identifier: 10.2969/aspm/07110453

Rights: Copyright © 2016 Mathematical Society of Japan

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