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pro vyhledávání: '"Minuţă Virgilius-Aurelian"'
Autor:
Minuţă Virgilius-Aurelian
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 12, Iss 1, Pp 164-178 (2020)
We develop a group graded Morita theory over a G-graded G-acted algebra, where G is a finite group.
Externí odkaz:
https://doaj.org/article/2e1d86715f7c4af19445c974b8c99b20
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 category algebras and their behavior with respect to skew category alg
Externí odkaz:
http://arxiv.org/abs/2402.02605
To a strongly $G$-graded algebra $A$ with $1$-component $B$ we associate the group $\mathrm{Picent}^{\mathrm{gr}}(A)$ of isomorphism classes of invertible $G$-graded $(A,A)$-bimodules over the centralizer of $B$ in $A$. Our main result is a $\mathrm{
Externí odkaz:
http://arxiv.org/abs/2302.10027
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 derived equivalence with additional properties. Moreover, we show that
Externí odkaz:
http://arxiv.org/abs/2008.11549
Autor:
Minuta, Virgilius-Aurelian
Starting with group graded Morita equivalences, we obtain Morita equivalences for tensor products and wreath products.
Externí odkaz:
http://arxiv.org/abs/2007.07526
Autor:
Minuta, Virgilius-Aurelian
We develop a group graded Morita theory over a G-graded G-acted algebra, where G is a finite group.
Externí odkaz:
http://arxiv.org/abs/2001.09120
We introduce Morita and Rickard equivalences over a group graded G-algebra between block extensions. A consequence of such equivalences is that Sp\"ath's central order relation holds between two corresponding character triples.
Externí odkaz:
http://arxiv.org/abs/1912.05666
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 another related equivalence.
Externí odkaz:
http://arxiv.org/abs/1911.04590
Autor:
Marcus, Andrei ⁎, Minuţă, Virgilius-Aurelian
Publikováno v:
In Journal of Algebra 1 January 2021 565:98-127
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