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 Poincare 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. "
General
| Imprint: |
Springer-Verlag
|
| Country of origin: |
Germany |
| Series: |
Springer Monographs in Mathematics |
| Release date: |
February 2008 |
| First published: |
2008 |
| Authors: |
Rafael Stekolshchik
|
| Dimensions: |
235 x 155 x 15mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
240 |
| Edition: |
2008 ed. |
| ISBN-13: |
978-3-540-77398-6 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
Promotions
|
| LSN: |
3-540-77398-3 |
| Barcode: |
9783540773986 |
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