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math.CO2019★ 2 cited
The -Rook Monoid and its Representation Theory
Joël Gay, Florent Hivert
We show that a proper degeneracy at of the -deformed rook monoid of Solomon is the algebra of a monoid namely the -rook monoid, in the same vein as Norton's …
math.CO2019
Signaletic operads
Florent Hivert, Vincent Pilaud
We introduce -signaletic operads and their Koszul duals, generalizing the dendriform, diassociative and duplicial operads (which correspond to the case). We show that the…