000 01921cam a2200277 a 4500
001 1617790
005 20250611110019.0
008 951025s1997 enka b 001 0 eng
020 _a9780521567244
040 _aCSL
_cCSL
041 _2eng
_aeng
084 _aB27 N7 NBHM
_qCSL
100 1 _aFulton, William,
_eauthor.
_9494591
245 1 0 _aYoung tableaux :
_bwith applications to representation theory and geometry
260 _aCambridge :
_bCambridge University Press,
_c1997.
300 _aix, 260 p. :
_bill. ;
_c24 cm.
440 0 _aLondon Mathematical Society student texts ;
_v35
504 _aIncludes bibliographical references (p. 248-253) and indexes.
520 _aThe 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.
650 0 _aYoung tableaux.
_9812561
650 0 _a Geometry and Topology
_9812562
650 0 _aCalculus of tableaux
_9812563
650 0 _aRepresentation theory
_9515466
650 0 _aGeometry
942 _2CC
_n0
_cTEXL
_hB27 N7 NBHM
999 _c1431594
_d1431594