3 papers
math.RT2025
Tableaux and orbit harmonics quotients for finite transformation monoids
Mihalis Maliakas, Dimitra-Dionysia Stergiopoulou
We extend Grood's tableau construction of irreducible representations of the rook monoid and Steinberg's analogous result for the full transformation monoid. Our approach is charac…
math.CO2025
Total trades, intersection matrices and Specht modules
Mihalis Maliakas, Dimitra-Dionysia Stergiopoulou
Trades are important objects in combinatorial design theory that may be realized as certain elements of kernels of inclusion matrices. Total trades were introduced recently by Ghor…
math.RT2008
On Weyl resolutions associated to Frobenius twists
Mihalis Maliakas
We construct Weyl resolutions associated to certain Frobenius twists of divided powers. Using these and other related complexes we obtain the Weyl filtration dimension of the Schur…