The new corrected and expanded edition adds a special appendix on Schensted Correspondence and Littelmann Paths. This appendix can be read independently of the rest of the volume and is an account of the Littelmann path model for the case gln. The appendix also offers complete proofs of classical theorems of Schensted and Knuth.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
The new corrected and expanded edition adds a special appendix on Schensted Correspondence and Littelmann Paths. This appendix can be read independently of the rest of the volume and is an account of the Littelmann path model for the case gln. The appendix also offers complete proofs of classical theorems of Schensted and Knuth.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Adds a special appendix on Schensted Correspondence and Littelmann PathsA classic account of matrix representationsIncludes supplementary material: sn.pub/extrasThe new corrected and expanded edition adds a special appendix o. N° de réf. du vendeur 4891204
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Taschenbuch. Etat : Neu. Polynomial Representations of GL_n | with an Appendix on Schensted Correspondence and Littelmann Paths | James A. Green | Taschenbuch | Lecture Notes in Mathematics | x | Englisch | 2006 | Springer | EAN 9783540469445 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 102147808
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Etat : Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | This second edition of ¿Polynomial representations of GL (K)¿ consists of n two parts. The ?rst part is a corrected version of the original text, formatted A in LT X, and retaining the original numbering of sections, equations, etc. E The second is an Appendix, which is largely independent of the ?rst part, but whichleadstoanalgebraL(n,r),de?nedbyP.Littelmann,whichisanalogous to the Schur algebra S(n,r). It is hoped that, in the future, there will be a structure theory of L(n,r) rather like that which underlies the construction of Kac-Moody Lie algebras. We use two operators which act on ¿words¿. The ?rst of these is due to C. Schensted (1961). The second is due to Littelmann, and goes back to a1938paperbyG.deB.Robinsonontherepresentationsofa?nitesymmetric group.Littelmann¿soperatorsformthebasisofhiselegantandpowerful¿path model¿ of the representation theory of classical groups. In our Appendix we use Littelmann¿s theory only in its simplest case, i.e. for GL . n Essential to my plan was to establish two basic facts connecting the op- ations of Schensted and Littelmann. To these ¿facts¿, or rather conjectures, I gave the names Theorem A and Proposition B. Many examples suggested that these conjectures are true, and not particularly deep. But I could not prove either of them. N° de réf. du vendeur 3291857/12
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