Subregular representations of sln and simple singularities of type An-1

Gordon, I. and Rumynin, D. (2003) Subregular representations of sln and simple singularities of type An-1. Compositio Mathematica, 138, pp. 337-360. (doi: 10.1090/S1088-4165-04-00186-4)

Abstract

The aim of this paper is to show that the structures on K-theory used to formulate Lusztig's conjecture for subregular nilpotent sln-representations are, in fact, natural in the McKay correspondence. The main result is a categorification of these structures. The no-cycle algebra plays the special role of a bridge between complex geometry and representation theory in positive characteristic.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Rumynin, Dr Dmitrity
• Authors: Gordon, I., and Rumynin, D.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Compositio Mathematica
• ISSN: 1088-4165