ACTIONS OF LIE SUPERALGEBRAS ON SEMIPRIME ALGEBRAS WITH CENTRAL INVARIANTS
Glasgow mathematical journal, Tome 52 (2010) no. A, pp. 93-102
Voir la notice de l'article provenant de la source Cambridge
Let R be a semiprime algebra over a field of characteristic zero acted finitely on by a finite-dimensional Lie superalgebra L = L0 ⊕ L1. It is shown that if L is nilpotent, [L0, L1] = 0 and the subalgebra of invariants RL is central, then the action of L0 on R is trivial and R satisfies the standard polynomial identity of degree 2 ⋅ []. Examples of actions of nilpotent Lie superalgebras, with central invariants and with [L0, L1] ≠ 0, are constructed.
GRZESZCZUK, PIOTR; HRYNIEWICKA, MAŁGORZATA. ACTIONS OF LIE SUPERALGEBRAS ON SEMIPRIME ALGEBRAS WITH CENTRAL INVARIANTS. Glasgow mathematical journal, Tome 52 (2010) no. A, pp. 93-102. doi: 10.1017/S0017089510000236
@article{10_1017_S0017089510000236,
author = {GRZESZCZUK, PIOTR and HRYNIEWICKA, MA{\L}GORZATA},
title = {ACTIONS {OF} {LIE} {SUPERALGEBRAS} {ON} {SEMIPRIME} {ALGEBRAS} {WITH} {CENTRAL} {INVARIANTS}},
journal = {Glasgow mathematical journal},
pages = {93--102},
year = {2010},
volume = {52},
number = {A},
doi = {10.1017/S0017089510000236},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000236/}
}
TY - JOUR AU - GRZESZCZUK, PIOTR AU - HRYNIEWICKA, MAŁGORZATA TI - ACTIONS OF LIE SUPERALGEBRAS ON SEMIPRIME ALGEBRAS WITH CENTRAL INVARIANTS JO - Glasgow mathematical journal PY - 2010 SP - 93 EP - 102 VL - 52 IS - A UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000236/ DO - 10.1017/S0017089510000236 ID - 10_1017_S0017089510000236 ER -
%0 Journal Article %A GRZESZCZUK, PIOTR %A HRYNIEWICKA, MAŁGORZATA %T ACTIONS OF LIE SUPERALGEBRAS ON SEMIPRIME ALGEBRAS WITH CENTRAL INVARIANTS %J Glasgow mathematical journal %D 2010 %P 93-102 %V 52 %N A %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000236/ %R 10.1017/S0017089510000236 %F 10_1017_S0017089510000236
Cité par Sources :