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| 008 | 150903s2008 gw | o |||| 0|eng d | ||
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_a9783540773993 _99783540773993 |
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_a10.1007/9783540773993 _2doi |
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_a201509030431 _bVLOAD _c201405060250 _dVLOAD _y201402171121 _zstaff |
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_aMX-SnUAN _bspa _cMX-SnUAN _erda |
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| 050 | 4 | _aQA251.3 | |
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_aStekolshchik, Rafael. _eautor _9334443 |
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_aNotes on Coxeter Transformations and the McKay Correspondence / _cby Rafael Stekolshchik. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008. |
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| 300 | _brecurso en línea. | ||
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_atexto _btxt _2rdacontent |
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_acomputadora _bc _2rdamedia |
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_arecurso en línea _bcr _2rdacarrier |
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_aarchivo de texto _bPDF _2rda |
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_aSpringer Monographs in Mathematics, _x1439-7382 |
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| 500 | _aSpringer eBooks | ||
| 505 | 0 | _aPreliminaries -- 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. | |
| 520 | _aOne 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. | ||
| 590 | _aPara consulta fuera de la UANL se requiere clave de acceso remoto. | ||
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_aSpringerLink (Servicio en línea) _9299170 |
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_iEdición impresa: _z9783540773986 |
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_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-540-77399-3 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL) |
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