8 citations · 36 across the 21 of their papers we have counts for
21 papers
-presented Gorenstein flat modules and Gorenstein dimensions of groups
Dimitra-Dionysia Stergiopoulou
Let be a group and be a commutative ring. The Gorenstein homological dimension and the Gorenstein cohomological dimension of over …
Gorenstein homological dimension of group extensions
Dimitra-Dionysia Stergiopoulou
We study the Gorenstein homological dimension of groups which are of type over a commutative ring . Our main result shows that, over an arbitrary rin…
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…
Gorenstein versions of type groups and some Gcd-cd, Ghd-hd coincidences
Rudradip Biswas, Dimitra-Dionysia Stergiopoulou
In this short note, we characterise some Gorenstein versions of the concept of a group being of type as introduced by Olympia Talelli. And, we also generalize a different Talel…
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…
Gorenstein analogues of a projectivity criterion over group algebras
Rudradip Biswas, Dimitra-Dionysia Stergiopoulou
We formulate and answer Gorenstein projective, flat, and injective analogues of a classical projectivity question for group rings under some mild additional assumptions. Although t…
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…
Finiteness criteria for Gorenstein homological dimension and some invariants of groups
Ilias Kaperonis, Dimitra-Dionysia Stergiopoulou
In this paper, we study finiteness criteria for the Gorenstein homological dimension of groups over a commutative ring of finite Gorenstein weak global dimension and provide estima…
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…
Gorenstein modules and dimension over large families of infinite groups
Dimitra-Dionysia Stergiopoulou
We give characterizations of Gorenstein projective, Gorenstein flat and Gorenstein injective modules over the group algebra for large families of infinite groups and show that ever…
Finiteness criteria for Gorenstein flat dimension and stability
Ilias Kaperonis, Dimitra-Dionysia Stergiopoulou
Projectively coresolved Gorenstein flat modules were introduced recently by Saroch and Stovicek and were shown to be Gorenstein projective. While the relation between Gorenstein pr…
Projectively coresolved Gorenstein flat dimension of groups
Dimitra-Dionysia Stergiopoulou
In this paper, we introduce and study the projectively coresolved Gorenstein flat dimension of a group over a commutative ring and we prove that this dimension enjoys all t…
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…
Stability of projectively coresolved Gorenstein flat modules
Dimitra-Dionysia Stergiopoulou
The stability of the class of projectively coresolved Gorenstein flat modules, under the very Gorenstein process used to define them, is proven in this paper. Moreover, a new chara…
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…
On the Galois-module structure of polydifferentials of Artin-Schreier-Mumford curves, modular and integral representation theory
Aristides Kontogeorgis, Dimitra-Dionysia Stergiopoulou
We study the Galois-module structure of polydifferentials for Mumford curves, defined over a field of positive charactersitic, using the theory of harmonic cocycles. For the case o…