Item description for Notes on Coxeter Transformations and the McKay Correspondence (Springer Monographs in Mathematics) by R. Stekolshchik...
One of the beautiful results in the representation theory of the finite groups is McKay's theorem on a correspondence between representations of the binary polyhedral group of SU(2) and vertices of an extended simply-laced Dynkin diagram.
The Coxeter transformation is the main tool in the proof of the McKay correspondence, and is closely interrelated with the Cartan matrix and Poincar series. The Coxeter functors constructed by Bernstein, Gelfand and Ponomarev plays a distinguished role in the representation theory of quivers.
On these pages, the ideas and formulas due to J. N. Bernstein, I. M. Gelfand and V. A. Ponomarev, H.S.M. Coxeter, V. Dlab and C.M. Ringel, V. Kac, J. McKay, T.A. Springer, B. Kostant, P. Slodowy, R. Steinberg, W. Ebeling and several other authors, as well as the author and his colleagues from Subbotin's seminar, are presented in detail. Several proofs seem to be new.
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Est. Packaging Dimensions: Length: 9.45" Width: 6.06" Height: 0.79" Weight: 1.15 lbs.
Release Date Mar 11, 2008
ISBN 3540773983 ISBN13 9783540773986
Availability 104 units. Availability accurate as of May 25, 2017 11:44.
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