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
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
Journal title :
Journal of Algebra