• Title of article

    Deformed universal characters for classical and affine algebras

  • Author/Authors

    Mark Shimozono، نويسنده , , Mike Zabrocki، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2006
  • Pages
    29
  • From page
    33
  • To page
    61
  • Abstract
    Creation operators are given for the three distinguished bases of the type BCD universal character ring of Koike and Terada yielding an elegant way of treating computations for all three types in a unified manner. Deformed versions of these operators create symmetric function bases whose expansion in the universal character basis, has polynomial coefficients in q with nonnegative integer coefficients. We conjecture that these polynomials are one-dimensional sums associated with crystal bases of finite-dimensional modules over quantized affine algebras for all nonexceptional affine types. These polynomials satisfy a Macdonald-type duality.
  • Keywords
    Kostka polynomials , Symmetric functions
  • Journal title
    Journal of Algebra
  • Serial Year
    2006
  • Journal title
    Journal of Algebra
  • Record number

    697457