8 citations · 36 across the 21 of their papers we have counts for
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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…
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…
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…
On stability and nonvanishing of homomorphism spaces between Weyl modules
Charalambos Evangelou, Mihalis Maliakas, Dimitra-Dionysia Stergiopoulou
Consider the general linear group defined over an infinite field of positive characteristic . We denote by the Weyl module of which corresponds to a…
A periodicity theorem for extensions of Weyl modules
Mihalis Maliakas, Dimitra-Dionysia Stergiopoulou
In this paper we study periodicity phenomena for modular extensions between Weyl modules and between Weyl and simple modules of the general linear group that are associated to addi…
On homomorphisms into Weyl modules corresponding to partitions with two parts
Mihalis Maliakas, Dimitra-Dionysia Stergiopoulou
Let be an infinite field of characteristic and let be partitions, where has two parts. We find sufficient arithmetic conditions on for the existence…
Relating homomorphism spaces between Specht modules of different degrees
Mihalis Maliakas, Dimitra-Dionysia Stergiopoulou
Let be an infinite field of characteristic and let be partitions of , where and . By we denote the Specht module corresp…
Integral between hook Weyl modules
Dimitra-Dionysia Stergiopoulou
This paper concerns representations of the integral general linear group. The extension groups between any pair of hook Weyl modules are determined via a detailed study of…
On homomorphisms involving a hook Weyl module
Mihalis Maliakas, Dimitra-Dionysia Stergiopoulou
Let be an infinite field of positive characteristic. We determine all homomorphisms between Weyl modules for , where one of the partitions is a hook. As a consequence w…
On extensions of hook Weyl modules
Mihalis Maliakas, Dimitra-Dionysia Stergiopoulou
We determine the integral extension groups and , where are the Weyl modules of the general linear group correspondi…