178 citations
- University of TorontoCA40 papers
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- Centre National de la Recherche ScientifiqueFR6 papers
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Showing 2008 · math.COShow all
2 papers · 2 filters
math.CO2008★ 2 cited
A Filtration of (q,t)-Catalan numbers
N. Bergeron, F. Descouens, M. Zabrocki
We define new generalizations of (q,t)-Catalan numbers applying nabla operator on k-Schur functions indexed by column partitions. In some special cases, we give a combinatorial int…
math.CO2008
A non-commutative generalization of -Schur functions
N. Bergeron, F. Descouens, M. Zabrocki
We introduce non-commutative analogues of -Schur functions of Lapointe-Lascoux and Morse. We give an explicit formulas for the expansions of non-commutive functions with one and…