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q and q,t-Analogs of Non-commutative Symmetric Functions

arXiv:math/0106255 · doi:10.1016/j.disc.2004.08.044

Abstract

We introduce two families of non-commutative symmetric functions that have analogous properties to the Hall-Littlewood and Macdonald symmetric functions.

Different from analogues in math.CO/0106191 - v2: 26 pages - added a definition in terms of triangularity/scalar product relations - to be submitted FPSAC'02