The adjoint representation of group algebras and enveloping algebras.

Passman, Donald S.. "The adjoint representation of group algebras and enveloping algebras.." Publicacions Matemàtiques 36.2B (1992): 861-878. <http://eudml.org/doc/41757>.

@article{Passman1992,
abstract = {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.},
author = {Passman, Donald S.},
journal = {Publicacions Matemàtiques},
keywords = {adjoint representation; group algebras; enveloping algebras; adjoint action; kernel; f.c. center; finite-dimensional ideals; symmetric groups; Frobenius groups},
language = {eng},
number = {2B},
pages = {861-878},
title = {The adjoint representation of group algebras and enveloping algebras.},
url = {http://eudml.org/doc/41757},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Passman, Donald S.
TI - The adjoint representation of group algebras and enveloping algebras.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2B
SP - 861
EP - 878
AB - 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.
LA - eng
KW - adjoint representation; group algebras; enveloping algebras; adjoint action; kernel; f.c. center; finite-dimensional ideals; symmetric groups; Frobenius groups
UR - http://eudml.org/doc/41757
ER -