Research
Research Interests
- [20Cxx] Representation theory of groups
- [16D90] Module categories; Morita equivalence and duality
- [16E30] Homological functors on modules (Tor, Ext, etc.)
- [16E40] (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)
- [16E45] Differential graded algebras and applications
- [16G10] Representations of Artinian rings
- [16G30] Representations of orders, lattices, algebras over commutative rings
- [16H05] Orders and arithmetic, separable algebras, Azumaya algebras
- [16K50] Brauer groups
- [16S34] Group rings, Laurent polynomial rings
- [16S35] Twisted and skew group rings, crossed products
- [16S40] Smash products of general Hopf actions
- [16S50] Endomorphism rings; matrix rings
- [16W30] Coalgebras, bialgebras, Hopf algebras
- [16W50] Graded rings and modules
- [16W55] Super (or skew) structure
- [18E10] Exact categories, abelian categories
- [18E15] Grothendieck categories
- [18E25] Derived functors and satellites
- [18E30] Derived categories, triangulated categories
- [20J05] Homological methods in group theory
- [20J06] Cohomology of groups
- [20G40] Linear algebraic groups over finite fields
Books and lecture notes
1. Proceedings of the Summer School on Representation Theory of Algebras, Finite and Reductive Groups
Babes-Bolyai University Cluj-Napoca, September 15-25, 1997
2. Marcus, Andrei:
Representation Theory of Group Graded
Algebras
Nova Science Publishers 1999
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Preprint versions of selected papers
[1992] Static modules and Clifford theory for strongly graded rings
[1993] Modules graded by G-sets and Clifford theory
[1994] On equivalences between blocks of group algebras: reduction to the simple components
[1997] Projective modules over twisted group algebras of p-solvable groups
[1998] Groups of homomorphism graded by G-sets
[2000] Twisted group algebras, normal subgroups and derived equivalences
[2001] Blocks with cyclic defect groups, and Clifford extensions
[2002] Broué's conjecture for alternating groups
[2006] Morita equivalences induced by bimodules over Hopf-Galois extensions
[2013] Field extensions and Clifford theory
[2013] Morita equivalences related to the Glauberman correspondence
[2014] Module covers and the Green correspondence
[2014] Group graded Hecke interior algebras
Surveys
[2003] A survey on Broue's abelian defect group conjecture
[2008] Derived equivalences and
the abelian defect group conjecture
Presentations
[2006] ICM 2006, Madrid 21-30 august 2006
[2006] "New Techniques in Hopf Algebras", Brussels, September 19-23, 2006
[2007] Rényi Institute Budapest, February 12, 2007
Reviews
Mathematical Reviews
Zentralblatt MATH
Projects
Proiect Metode categoriale si combinatoriale in teoria reprezentarilor PN-II-ID-PCE-2012-4-0100