{"product_id":"9783642096044","title":"Notes on Coxeter Transformations and the Mckay Correspondence (Springer Monographs in Mathematics)","description":"\u003cp\u003eOne 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. \u003c\/p\u003e\u003cp\u003eThe 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. \u003c\/p\u003e\u003cp\u003eOn 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. \u003c\/p\u003e Preliminaries.- The Jordan normal form of the Coxeter transformation.- Eigenvalues, splitting formulas and diagrams Tp,q,r.- R. Steinberg's theorem, B. Kostant's construction.- The affine Coxeter transformation. \u003cp\u003e1980 - 1991, CAM (Center of Automation and Metrology), Academy of Sciences of Moldova, Project leader of experimental data processing. \nResearch and development of programs and mathematical tools for Academy of Sciences of Moldova,\u003c\/p\u003e\u003cp\u003e 999 - 2007, ECI Telecom (Electronics Corporation of Israel), Israel, Project leader in the Network Management department.\nResearch and development of algorithmes in the field of Communications and Big Systems.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":48769851982059,"sku":"00000_00000_00000_00000","price":201.41,"currency_code":"SGD","in_stock":true}],"url":"https:\/\/kinokuniya.com.sg\/products\/9783642096044","provider":"Books Kinokuniya Singapore","version":"1.0","type":"link"}