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020 _a9783540469599
_99783540469599
024 7 _a10.1007/3540469443
_2doi
035 _avtls000349669
039 9 _a201509030453
_bVLOAD
_c201404121549
_dVLOAD
_c201404091326
_dVLOAD
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_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA174-183
100 1 _aGreen, James A.
_eautor
_9331321
245 1 0 _aPolynomial Representations of GLn /
_cby James A. Green, Manfred Schocker, Karin Erdmann.
250 _a2nd corrected and augmented edition.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2007.
300 _aIx, 161 páginas Also available online.
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v830
500 _aSpringer eBooks
505 0 _aPreface to the second edition -- J. A. Green: Polynomial representations of GLn: 1.Introduction -- 2.Polynomial representations of GL_n(K): The Schur algebra -- 3.Weights and characters -- 4.The module D_{\lambda, K} -- 5.The Carter-Lusztig modules V_{\lambda, K} -- 6.Representation theory of the symmetric group -- Appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker: A. Introduction -- B. The Schensted process -- C. Schensted and Littelmann -- D. Theorem A and some of its consequences -- E. Tables -- Index of Symbols -- References -- Index.
520 _aThe first half of this book contains the text of the first edition of LNM volume 830, Polynomial Representations of GLn. This classic account of matrix representations, the Schur algebra, the modular representations of GLn, and connections with symmetric groups, has been the basis of much research in representation theory. The second half is an Appendix, and can be read independently of the first. It is an account of the Littelmann path model for the case gln. In this case, Littelmann's 'paths' become 'words', and so the Appendix works with the combinatorics on words. This leads to the repesentation theory of the 'Littelmann algebra', which is a close analogue of the Schur algebra. The treatment is self- contained; in particular complete proofs are given of classical theorems of Schensted and Knuth.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aSchocker, Manfred.
_eautor
_9331322
700 1 _aErdmann, Karin.
_eautor
_9323028
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9783540469445
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/3-540-46944-3
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999 _c296331
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