Springer correspndence for complex reflection groups

2015/11/11 by Toshiaki Shoji, Shoji, Toshiaki
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1511.03353

Abstract

This paper is a survey on the topics concerning the Springer correspondence related to the varieties such as the enhanced variety or the exotic symmetric space. We explain in the case of exotic symmetric space of higher level, the complex reflection group S_n \ltimes (\BZ/r\BZ)ⁿ appears naturally in the framework of the Springer correspondence.

Related

• Exotic symmetric spaces of higher level - Springer correspondence for complex reflection groups -
• Springer correspondence for symmetric spaces
• Symmetric spaces associated to classical groups with even characteristic
• Exterior powers of the reflection representation in Springer theory
• Pinnacles for Complex Reflection Groups