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Tame tensor products of algebras

Zbigniew Leszczyński, Andrzej Skowroński (2003)

Colloquium Mathematicae

With the help of Galois coverings, we describe the tame tensor products A K B 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.

Wenlin Huang (2006)

Extracta Mathematicae

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.

The 3-modular characters of the twisted Chevalley group 2D4(2) y 2D4(2).2.

Ibrahim A. I. Suleiman (1995)

Revista Matemática de la Universidad Complutense de Madrid

In this paper we calculate the 3-modular character table of the twisted Chevalley group 2D4(2) and its automorphism group 2D4(2).2. The Meat-Axe package for calculating modular characters over finite fields (Ryba (1990)) was used to calculate most of the characters. The method of condensation, which was explained in Suleiman (1990) was used to determine the complete character table. All these methods are explained later in this paper.

The adjoint representation of group algebras and enveloping algebras.

Donald S. Passman (1992)

Publicacions Matemàtiques

In this paper we study the Hopf adjoint action of group algebras and enveloping algebras. We are particularly concerned with determining when these representations are faithful. Delta methods allow us to reduce the problem to certain better behaved subalgebras. Nevertheless, the problem remains open in the finite group and finite-dimensional Lie algebra cases.

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