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ISBN: 0824778162 9780824778163 Year: 1988 Volume: 115 Publisher: New York Basel Dekker
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ISBN: 0521561442 9780521561440 0521567246 9780521567244 9780511626241 051162624X 9781107088931 1107088933 9781107095120 1107095123 1316087387 1107091853 1107100771 Year: 1997 Volume: 35 Publisher: Cambridge : Cambridge University Press,
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The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of 'bumping' and 'sliding', and several interesting correspondences. In Part II these results are used to study representations with geometry on Grassmannians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Much of this material has never appeared in book form.There are numerous exercises throughout, with hints or answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find Young Tableaux interesting and useful; students will find the intuitive presentation easy to follow.
Young tableaux. --- Tableaux, Young --- Partitions (Mathematics) --- Young tableaux --- Group theory
ISSN: 00659266 ISBN: 0821826131 Year: 1995 Publisher: Providence (R.I.): American Mathematical Society
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Stochastic processes --- Discrete mathematics --- Generating functions --- Lattice paths --- Young tableaux --- Hypergeometric series --- Séries hypergéométriques --- Young, Tableaux de --- Fonctions génératrices --- Tableaux, Young --- Partitions (Mathematics) --- Paths, Lattice --- Combinatorial probabilities --- Graph theory --- Lattice theory --- Gaussian hypergeometric series --- Gaussian series --- Gauss's series --- Series --- Hypergeometric functions --- Functions, Generating --- Combinatorial analysis --- Séries hypergéométriques. --- Young, Tableaux de. --- Fonctions génératrices.
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