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

Mathematics – Combinatorics

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Different from analogues in math.CO/0106191 - v2: 26 pages - added a definition in terms of triangularity/scalar product relat

Scientific paper

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

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