5 citations · 7 across the 8 of their papers we have counts for
10 papers · 1 filter
An exact sequence for the graded Picent
Andrei Marcus, Virgilius-Aurelian Minuta
To a strongly -graded algebra with -component we associate the group of isomorphism classes of invertible -graded -bimodu…
Support -tilting modules and semibricks over group graded algebras
Simion Breaz, Andrei Marcus, George Ciprian Modoi
We consider a finite dimensional strongly -graded algebra with { self-injective} -component , and in our main result we prove that the induction from to of a b…
Blockwise relations between triples, and derived equivalences for wreath products
Andrei Marcus, Virgilius-Aurelian Minuta
Motivated by the reduction techniques involving character triples for the local-global conjectures, we show that a blockwise relation between module triples is a consequence of a d…
Character triples and equivalences over a group graded G-algebra
Andrei Marcus, Virgilius-Aurelian Minuta
We introduce Morita and Rickard equivalences over a group graded G-algebra between block extensions. A consequence of such equivalences is that Späth's central order relation holds…
Tilting complexes for group graded self-injective algebras
Andrei Marcus, Shengyong Pan
We construct derived equivalences between group graded self-injective algebras, starting from equivalences between their 1-components, obtained via a construction of J. Rickard and…
Group graded endomorphism algebras and Morita equivalences
Andrei Marcus, Virgilius-Aurelian Minuta
We prove a group graded Morita equivalences version of the "butterfly theorem" on character triples. This gives a method to construct an equivalence between block extensions from a…
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 $…
Remarks on the extended Brauer quotient
Tiberiu Coconet, Andrei Marcus
We point out the graded structure of the extended Brauer quotient an interior -algebra.
Group graded basic Morita equivalences
Tiberiu Coconet, Andrei Marcus
We introduce group graded basic Morita equivalences between algebras deter- mined by blocks of normal subgroups, and by using the extended Brauer quotient, we show that they induce…