Linear and projective representations of symmetric groups [E-Book] / Alexander Kleshchev.
Kleshchëv, A. S., (author)
Cambridge : Cambridge University Press, 2005
1 online resource (xiv, 277 pages)
englisch
9780521837033
9781107471641
9780511542800
Cambridge tracts in mathematics ; 163
Full Text
Table of Contents:
  • 1.
  • Notation and generalities
  • 2.
  • Symmetric groups I
  • 3.
  • Degenerate affine Hecke algebra
  • 4.
  • First results on H[subscript n]-modules
  • 5.
  • Crystal operators
  • 6.
  • Character calculations
  • 7.
  • Integral representations and cyclotomic Hecke algebras
  • 8.
  • Functors e[subscript i][superscript [lambda]] and f[subscript i][superscript [lambda]]
  • 9.
  • Construction of U[subscript z][superscript +] and irreducible modules
  • 10.
  • Identification of the crystal
  • 11.
  • Symmetric groups II
  • 12.
  • Generalities on superalgebra
  • 13.
  • Sergeev superalgebras
  • 14.
  • Affine Sergeev superalgebras
  • 15.
  • Integral representations and cyclotomic Sergeev algebras
  • 16.
  • First results on X[subscript n]-modules
  • 17.
  • Crystal operators for X[subscript n]
  • 18.
  • Character calculations for X[subscript n]
  • 19.
  • Operators e[subscript i][superscript [lambda]] and f[subscript i][superscript [lambda]]
  • 20.
  • Construction of U[subscript z][superscript +] and irreducible modules
  • 21.
  • Identification of the crystal
  • 22.
  • Double covers.