Deformed universal characters for classical and affine algebras

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dc.creatorShimozono, Mark
dc.creatorZabrocki, Mike
dc.date2004-04-16
dc.date.accessioned2026-07-07T05:07:28Z
dc.date.available2026-07-07T05:07:28Z
dc.descriptionCreation 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 non-negative 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.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/math/0404288
dc.identifierhttp://arxiv.org/abs/math/0404288
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70873
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.subject81R10; 05E10
dc.titleDeformed universal characters for classical and affine algebras
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