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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.

The catenarity of the positive part of the quantized enveloping algebra of a simple Lie algebra of type $B_{2}$ . (La caténarité de la partie positive de l'algèbre enveloppante quantifiée de l'algèbre de Lie simple de type $B_{2}$ .)

Malliavin, Marie Paule (1994)

Beiträge zur Algebra und Geometrie

The center of the Dipper Donkin quantized matrix algebra.

Jakobsen, Hans Plesner, Zhang, Hechun (1997)

Beiträge zur Algebra und Geometrie

The finite dimension property of the irreducible representations of Noetherian $p$ -Lie algebras.

Shevelin, M.A. (2004)

Sibirskij Matematicheskij Zhurnal

Displaying 1 – 4 of 4

The adjoint representation of group algebras and enveloping algebras.

The catenarity of the positive part of the quantized enveloping algebra of a simple Lie algebra of type B 2 . (La caténarité de la partie positive de l'algèbre enveloppante quantifiée de l'algèbre de Lie simple de type B 2 .)

The center of the Dipper Donkin quantized matrix algebra.

The finite dimension property of the irreducible representations of Noetherian p -Lie algebras.

Currently displaying 1 – 4 of 4

The catenarity of the positive part of the quantized enveloping algebra of a simple Lie algebra of type $B_{2}$ . (La caténarité de la partie positive de l'algèbre enveloppante quantifiée de l'algèbre de Lie simple de type $B_{2}$ .)

The finite dimension property of the irreducible representations of Noetherian $p$ -Lie algebras.