| 书目名称 | Notes on Coxeter Transformations and the McKay Correspondence | | 编辑 | Rafael Stekolshchik | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | .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 Poincaré 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. . | | 出版日期 | Book 2008 | | 关键词 | Cartan matrix; Coxeter transformation; Dynkin diagram; Eigenvalue; Matrix; McKay correspondence; Poincare | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-77399-3 | | isbn_softcover | 978-3-642-09604-4 | | isbn_ebook | 978-3-540-77399-3Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag Berlin Heidelberg 2008 |
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发表于 2025-3-21 19:23:39
