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Notes on Coxeter Transformations and the McKay Correspondence (Springer Monographs in Mathematics) [Hardcover]

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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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Item Specifications...


Pages   240
Est. Packaging Dimensions:   Length: 9.45" Width: 6.06" Height: 0.79"
Weight:   1.15 lbs.
Binding  Hardcover
Release Date   Mar 11, 2008
Publisher   Springer
ISBN  3540773983  
ISBN13  9783540773986  


Availability  104 units.
Availability accurate as of Mar 26, 2017 07:06.
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Product Categories

1Books > Bargain Books
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Algebra > General
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Group Theory
4Books > Subjects > Science > General
5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > General
7Books > Subjects > Science > Mathematics > Pure Mathematics > Group Theory



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