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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.CO2018★ 2 cited
The weak order on Weyl posets
Joël Gay, Vincent Pilaud
We define a natural lattice structure on all subsets of a finite root system that extends the weak order on the elements of the corresponding Coxeter group. For crystallographic ro…