Gordon, I. (Iain) and Rumynin, Dmitriy. (2004) Subregular representations of Sln and simple singularities of type An-1. Part II. Representation Theory, Vol.8 . pp. 328-345. ISSN 1088-4165

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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:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Geometry, Algebraic, Grothendieck groups, Kleinian groups
Journal or Publication Title:	Representation Theory
Publisher:	American Mathematical Society
ISSN:	1088-4165
Date:	2004
Volume:	Vol.8
Page Range:	pp. 328-345
Identification Number:	10.1090/S1088-4165-04-00186-4
Status:	Peer Reviewed
Access rights to Published version:	Open Access
Funder:	Mathematical Sciences Research Institute (Berkeley, Calif.) (MSRI), European Commission (EC), Nuffield Foundation (NF), Engineering and Physical Sciences Research Council (EPSRC)
Grant number:	ERB FMRX-CT97-0100 (EC), NAL/00625/G (Nuffield)
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URI:	http://wrap.warwick.ac.uk/id/eprint/4298

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