000 | 02993nam a22004575i 4500 | ||
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001 | 978-3-540-38379-6 | ||
003 | DE-He213 | ||
005 | 20190213151305.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1980 gw | s |||| 0|eng d | ||
020 |
_a9783540383796 _9978-3-540-38379-6 |
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024 | 7 |
_a10.1007/BFb0092296 _2doi |
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050 | 4 | _aQA331.5 | |
072 | 7 |
_aPBKB _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBKB _2thema |
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082 | 0 | 4 |
_a515.8 _223 |
100 | 1 |
_aGreen, James A. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aPolynomial Representations of GLn _h[electronic resource] / _cby James A. Green. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1980. |
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300 |
_aVIII, 120 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v830 |
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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 | _aMathematics. | |
650 | 1 | 4 |
_aReal Functions. _0http://scigraph.springernature.com/things/product-market-codes/M12171 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662198407 |
776 | 0 | 8 |
_iPrinted edition: _z9783540102588 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v830 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0092296 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10170 _d10170 |