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Titlebook: Notes on Coxeter Transformations and the McKay Correspondence; Rafael Stekolshchik Book 2008 Springer-Verlag Berlin Heidelberg 2008 Cartan

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書目名稱Notes on Coxeter Transformations and the McKay Correspondence
編輯Rafael Stekolshchik
視頻videohttp://file.papertrans.cn/669/668250/668250.mp4
概述Includes supplementary material:
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Notes on Coxeter Transformations and the McKay Correspondence;  Rafael Stekolshchik Book 2008 Springer-Verlag Berlin Heidelberg 2008 Cartan
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
關鍵詞Cartan matrix; Coxeter transformation; Dynkin diagram; Eigenvalue; Matrix; McKay correspondence; Poincare
版次1
doihttps://doi.org/10.1007/978-3-540-77399-3
isbn_softcover978-3-642-09604-4
isbn_ebook978-3-540-77399-3Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer-Verlag Berlin Heidelberg 2008
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hich excluded value judgements, led to the emergence and exaltation of the principle of Pareto efficiency, defined as an allocation from which it was impossible for any person to be made better off without some other person being made worse off, when ‘better’ and ‘worse’ were determined by individual preferences.
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