Invariants of Lie color algebras acting on graded algebras
Bergen, Jeffrey ; Grzeszczuk, Piotr
Colloquium Mathematicae, Tome 84/85 (2000), p. 107-124 / Harvested from The Polish Digital Mathematics Library

We prove a series of "going-up" theorems contrasting the structure of semiprime algebras and their subalgebras of invariants under the actions of Lie color algebras.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:210766
@article{bwmeta1.element.bwnjournal-article-cmv83i1p107bwm,
     author = {Jeffrey Bergen and Piotr Grzeszczuk},
     title = {Invariants of Lie color algebras acting on graded algebras},
     journal = {Colloquium Mathematicae},
     volume = {84/85},
     year = {2000},
     pages = {107-124},
     zbl = {0971.17016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv83i1p107bwm}
}
Bergen, Jeffrey; Grzeszczuk, Piotr. Invariants of Lie color algebras acting on graded algebras. Colloquium Mathematicae, Tome 84/85 (2000) pp. 107-124. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv83i1p107bwm/

[000] [BG1] J. Bergen and P. Grzeszczuk, Invariants of Lie superalgebras acting on associative algebras, Israel J. Math. 94 (1996), 403-428. | Zbl 0863.16028

[001] [BG2] J. Bergen and P. Grzeszczuk, Gradings, derivations, and automorphisms of some algebras which are nearly associative, J. Algebra 179 (1996), 732-750. | Zbl 0859.17002

[002] [CR] M. Cohen and L. Rowen, Group graded rings, Comm. Algebra 11 (1983), 1253-1270. | Zbl 0522.16001

[003] [J] N. Jacobson, A note on automorphisms and derivations of Lie algebras, Proc. Amer. Math. Soc. 6 (1955), 281-283. | Zbl 0064.27002

[004] [M] S. Montgomery, Hopf Algebras and Their Actions on Rings, CBMS Regional Conf. Ser. in Math. 82, Amer. Math. Soc., Providence, RI, 1993.

[005] [Sc] M. Scheunert, Generalized Lie algebras, J. Math. Phys. 20 (1979), 712-720. | Zbl 0423.17003