000 03579nam a22004578i 4500
001 CR9780511542800
003 UkCbUP
005 20200124160241.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090505s2005||||enk o ||1 0|eng|d
020 _a9780511542800 (ebook)
020 _z9780521837033 (hardback)
020 _z9781107471641 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA176
_b.K56 2005
082 0 4 _a512.5
_222
100 1 _aKleshchëv, A. S.
_q(Aleksandr Sergeevich),
_eauthor.
245 1 0 _aLinear and projective representations of symmetric groups /
_cAlexander Kleshchev.
246 3 _aLinear & Projective Representations of Symmetric Groups
264 1 _aCambridge :
_bCambridge University Press,
_c2005.
300 _a1 online resource (xiv, 277 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge tracts in mathematics ;
_v163
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 _g1.
_tNotation and generalities --
_g2.
_tSymmetric groups I --
_g3.
_tDegenerate affine Hecke algebra --
_g4.
_tFirst results on H[subscript n]-modules --
_g5.
_tCrystal operators --
_g6.
_tCharacter calculations --
_g7.
_tIntegral representations and cyclotomic Hecke algebras --
_g8.
_tFunctors e[subscript i][superscript [lambda]] and f[subscript i][superscript [lambda]] --
_g9.
_tConstruction of U[subscript z][superscript +] and irreducible modules --
_g10.
_tIdentification of the crystal --
_g11.
_tSymmetric groups II --
_g12.
_tGeneralities on superalgebra --
_g13.
_tSergeev superalgebras --
_g14.
_tAffine Sergeev superalgebras --
_g15.
_tIntegral representations and cyclotomic Sergeev algebras --
_g16.
_tFirst results on X[subscript n]-modules --
_g17.
_tCrystal operators for X[subscript n] --
_g18.
_tCharacter calculations for X[subscript n] --
_g19.
_tOperators e[subscript i][superscript [lambda]] and f[subscript i][superscript [lambda]] --
_g20.
_tConstruction of U[subscript z][superscript +] and irreducible modules --
_g21.
_tIdentification of the crystal --
_g22.
_tDouble covers.
520 _aThe representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics such as combinatories, Lie theory and algebraic geometry. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski and Brundan, as well as his own. Much of this work has previously appeared only in the research literature. However to make it accessible to graduate students, the theory is developed from scratch, the only prerequisite being a standard course in abstract algebra. For the sake of transparency, Kleshchev concentrates on symmetric and spin-symmetric groups, though methods he develops are quite general and apply to a number of related objects. In sum, this unique book will be welcomed by graduate students and researchers as a modern account of the subject.
650 0 _aSymmetry groups.
650 0 _aRepresentations of groups.
650 0 _aModular representations of groups.
650 0 _aHecke algebras.
650 0 _aSuperalgebras.
650 0 _aLinear algebraic groups.
650 0 _aAlgebras, Linear.
650 0 _aGeometry, Projective.
776 0 8 _iPrint version:
_z9780521837033
830 0 _aCambridge tracts in mathematics ;
_v163.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511542800
999 _c518555
_d518553