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math.RT2018★ 1 cited
Convolution Algebras for Finite Reductive Monoids
Jared Marx-Kuo, Vaughan McDonald, John M. O'Brien +1
For an arbitrary finite monoid and subgroup of the unit group of , we prove that there is a bijection between irreducible representations of with nontrivial -fixe…
math.RT2018
Characters of Renner Monoids and Their Hecke Algebras
Andy Hardt, Jared Marx-Kuo, Vaughan McDonald +2
This paper gives a general algorithm for computing the character table of any Renner monoid Hecke algebra, by adapting and generalizing techniques of Solomon used to study the rook…