2 citations · 2 across the 13 of their papers we have counts for
17 papers
Equivariant Hochschild cohomology of group algebras and relative
Andrada Pojar, Constantin-Cosmin Todea
For a finite group , acting on a finite group we find necessary conditions for which the first -equivariant Hochschild cohomology of the group algebra is non-triv…
Reduction theorems for a conjecture on basis in source algebras of blocks of finite groups
Tiberiu Coconet, Constantin-Cosmin Todea
The aim of this short research note is to present some results about a conjecture of Barker and Gelvin claiming that any source algebra of a block of a finite group has the unit gr…
A reduction theorem for non-vanishing of Hochschild cohomology of block algebras and Happel's property
Patrick Serwene, Constantin-Cosmin Todea
In this short research note we obtain a reduction theorem for the non-vanishing of the first Hochschild cohomology of block algebras of finite groups with non-trivial defect groups…
Skew category algebras, twisted tensor product algebras and induction of precosheaves
Tiberiu Coconet, Virgilius-Aurelian Minuta, Constantin-Cosmin Todea
We show that a skew category algebra can be embedded into a twisted tensor product algebra. We investigate the extension of some concepts of Puig and Turull from group algebras to…
Nontriviality of the first Hochschild cohomology of some block algebras of finite groups
C. -C. Todea
We show that for some finite group block algebras, with nontrivial defect groups, the first Hochschild cohomology is nontrivial. Along the way we obtain methods to investigate the…
BD algebras and group cohomology
C. -C. Todea
BD algebras (Beilinson-Drinfeld algebras) are algebraic structures which are defined similarly to BV algebras (Batalin-Vilkovisky algebras). The equation defining the BD operator h…
Symmetric Hochschild cohomology of twisted group algebras
Tiberiu Coconet, Constantin-Cosmin Todea
We show that there is an action of the symmetric group on the Hochschild cochain complex of a twisted group algebra with coefficients in a bimodule. This allows us to define the sy…
Isomorphisms of fusion subcategories on permutation algebras
Tiberiu Coconet, Constantin-Cosmin Todea
We prove two isomorphisms of categories involving Brauer pairs on -permutation -interior -algebras.
Fusions and Clifford extensions
Tiberiu Coconet, Andrei Marcus, Constantin-Cosmin Todea
We introduce -fusions of local pointed groups on a block extension , where is a normal subgroup of the finite group , , and is a …
Block extensions, local categories, and basic Morita equivalences
Tiberiu Coconet, Andrei Marcus, Constantin-Cosmin Todea
Let be a -modular system with algebraically closed, let be a block of the normal subgroup of having defect pointed group in $…
On cohomology of saturated fusion systems and support varieties
Constantin-Cosmin Todea
In this short note we study the cohomology algebra of saturated fusion systems using finite groups which realize saturated fusion systems and Hochschild cohomology of group algebra…
Frobenius induction for algebras
Tiberiu Coconet, Andrei Marcus, Constantin-Cosmin Todea
Let be a homomorphism of Hopf algebras and let be an algebra. We consider the induction from to of in two cases: when is a -interior algebra…
Bockstein homomorphisms for Hochschild cohomology of group algebras and of block algebras of finite groups
Constantin-Cosmin Todea
We give an explicit approach for Bockstein homomorphisms of the Hochschild cohomology of a group algebra and of a block algebra of a finite group and we show some properties. To gi…
Basic Morita equivalences and a conjecture of Sasaki for cohomology of block algebras of finite groups
C. C. Todea
We show, using basic Morita equivalences between block algebras of finite groups, that the Conjecture of H. Sasaki from [9] is true for a new class of blocks called nilpotent cover…
Hochschild cohomology of fully group-graded algebras as Mackey functor
Tiberiu Coconet, Constantin-Cosmin Todea
We prove that Hochschild cohomology of a certain class of fully group-graded algebras is a Mackey functor. We use the machinery of transfer maps between the Hochschild cohomology o…
The extended Brauer quotient for N-interior G-algebras
T. Coconet, C. C. Todea
In this note we generalize the extended Brauer quotient defined by L. Puig and Y. Zhou in [4, Section 3] to the case of N-interior G-algebras, where N is a normal subgroup of a fin…
A theorem of Mislin for cohomology of fusion systems and applications to block algebras of finite groups
C. C. Todea
We give an algebraic proof for a theorem of Mislin in the case of cohomology of saturated fusion systems defined on p-groups when p is odd. Some applications of this theorem to blo…