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
      Introduction
      1. Andrei Marcus: Groups, Algebras, Representations
      2. Thorsten Holm: Derived Categories, Derived Equivalences and Representation Theory
      3. Markus Linckelmann: Blocks of finite groups and stable equivalences
      4. Meinolf Geck: Finite reductive groups
      5. Wolfgang Kimmerle: A course on integral group rings

    2. Marcus, Andrei: Representation Theory of Group Graded Algebras
    Nova Science Publishers 1999
    Buy the book from amazon.com
    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