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Subregular representations of Sln and simple singularities of type An-1. Part II
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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. doi:10.1090/S1088-4165-04-00186-4 ISSN 1088-4165.
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Official URL: http://dx.doi.org/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: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > 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 | ||||
Official Date: | 2004 | ||||
Dates: |
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Volume: | Vol.8 | ||||
Page Range: | pp. 328-345 | ||||
DOI: | 10.1090/S1088-4165-04-00186-4 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
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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