4 papers
On the free LAnKe on generators: a theorem of Friedmann, Hanlon, Stanley and Wachs
Mihalis Maliakas, Dimitra-Dionysia Stergiopoulou
A LAnKe (also known as a Filippov algebra or a Lie algebra of the -th kind) is a vector space equipped with a skew-symmetric -linear form that satisfies the generalized Jacob…
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…
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…
Presentations of Schur and Specht modules in characteristic zero
Mihalis Maliakas, Maria Metzaki, Dimitra-Dionysia Stergiopoulou
New presentations of Specht modules of symmetric groups over fields of characteristic zero have been obtained by Brauner, Friedmann, Hanlon, Stanley and Wachs. These involve genera…