activity
20062023
most citedGroup graded endomorphism algebras and Morita equivalences

5 citations · 7 across the 8 of their papers we have counts for

collaborators

13 papers

math.RT2023

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…

math.RT2022

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…

math.RT2020

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…

math.RT2019

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…

math.RT2019

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…

math.RT2019★ 5 cited

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…