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Subregular representations of Sln and simple singularities of type An1. Part II
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Gordon, I. (Iain) and Rumynin, Dmitriy. (2004) Subregular representations of Sln and simple singularities of type An1. Part II. Representation Theory, Vol.8 . pp. 328345. ISSN 10884165
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Official URL: http://dx.doi.org/10.1090/S1088416504001864
Abstract
The aim of this paper is to show that the structures on Ktheory
used to formulate Lusztig's conjecture for subregular nilpotent slnrepresentations
are, in fact, natural in the McKay correspondence. The main result is a
categorification of these structures. The nocycle 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:  10884165 
Official Date:  2004 
Volume:  Vol.8 
Page Range:  pp. 328345 
Identification Number:  10.1090/S1088416504001864 
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 FMRXCT970100 (EC), NAL/00625/G (Nuffield) 
References:  [1] J. Bernstein, I. Frenkel and M. Khovanov, A categorification of the TemperleyLieb algebra 
URI:  http://wrap.warwick.ac.uk/id/eprint/4298 
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