13 papers
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 technical result shows…
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…
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 Tale…
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…
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…