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
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