000			03768nam a22005655i 4500
001			978-3-540-46959-9
003			DE-He213
005			20190213151313.0
007			cr nn 008mamaa
008			100301s2007 gw | s |||| 0|eng d
020			_a9783540469599 _9978-3-540-46959-9
024	7		_a10.1007/3-540-46944-3 _2doi
050		4	_aQA174-183
072		7	_aPBG _2bicssc
072		7	_aMAT002010 _2bisacsh
072		7	_aPBG _2thema
082	0	4	_a512.2 _223
100	1		_aGreen, James A. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aPolynomial Representations of GL n _h[electronic resource] / _cby James A. Green, Manfred Schocker, Karin Erdmann.
250			_a2nd corrected and augmented edition.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2007.
300			_aX, 166 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v830
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.
650		0	_aGroup theory.
650		0	_aAlgebra.
650		0	_aCombinatorics.
650		0	_aMathematics.
650	1	4	_aGroup Theory and Generalizations. _0http://scigraph.springernature.com/things/product-market-codes/M11078
650	2	4	_aAssociative Rings and Algebras. _0http://scigraph.springernature.com/things/product-market-codes/M11027
650	2	4	_aNon-associative Rings and Algebras. _0http://scigraph.springernature.com/things/product-market-codes/M11116
650	2	4	_aCombinatorics. _0http://scigraph.springernature.com/things/product-market-codes/M29010
650	2	4	_aReal Functions. _0http://scigraph.springernature.com/things/product-market-codes/M12171
700	1		_aSchocker, Manfred. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aErdmann, Karin. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540831761
776	0	8	_iPrinted edition: _z9783540469445
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v830
856	4	0	_uhttps://doi.org/10.1007/3-540-46944-3
912			_aZDB-2-SMA
912			_aZDB-2-LNM
999			_c10212 _d10212