Tame orders
Tame tensor products of algebras
With the help of Galois coverings, we describe the tame tensor products of basic, connected, nonsimple, finite-dimensional algebras A and B over an algebraically closed field K. In particular, the description of all tame group algebras AG of finite groups G over finite-dimensional algebras A is completed.
Tensor product and local interior G-algebras.
In this paper we get some properties which are compatible with the outer tensor product of local interior G-algebras in Section 2, in Section 3 we generalize the results of Külshammer in [2] on some indecomposable modules by the tool of inner tensor product of local interior G-algebras, we also discussed the centralizer CA(AG) of AG in A for an interior G-algebra A in Section 4, which makes sense for the extended definition in Section 1.
Tensor product of endo-permutation modules.
The Auslander-Reiten Graph of Integral Blocks with Cyclic Defect Two and Their Integral Representations.
The Auslander-Reiten quiver of a modular group algebra revisited.
The cancellation problem for homotopy equivalent representations of finite groups: a survey
The converse of Schur's Lemma in group rings
In this paper, we study the structure of group rings by means of endomorphism rings of their modules. The main tools used here, are the subrings fixed by automorphisms and the converse of Schur's lemma. Some results are obtained on fixed subrings and on primary decomposition of group rings.
The Equivalence of Various Generalizations of Group Rings and Modules.
The Euler class and periodicity of group cohomology.
The Galois sturcture of the square root of the inverse different.
The Indecomposable Modular Representations of Certain Groups with Dihedral Sylow Subgroup.
The modular representation theory of q-Schur algebras. II.
The number of indecomposable Schur rings over a cyclic 2-group.
The number of representations of a group induced from the irreducible representations of a normal subgroup.
The other -theorem
The parametrization of interior algebras.
The periodicity conjecture for blocks of group algebras
We describe the representation-infinite blocks B of the group algebras KG of finite groups G over algebraically closed fields K for which all simple modules are periodic with respect to the action of the syzygy operators. In particular, we prove that all such blocks B are periodic algebras of period 4. This confirms the periodicity conjecture for blocks of group algebras.
The special circulant matrix and units in group rings.
The structure of the unit group of the group algebra
The structure of the unit group of the group algebra of the group over any finite field of characteristic 2 is established in terms of split extensions of cyclic groups.