Let L be a non-abelian restricted Lie algebra over a field of characteristic p>0 and let u(L) denote its restricted enveloping algebra. In 2006 it was proved that if u(L) is Lie solvable then the Lie derived length of u(L) is at least $\lceil\log_2(p+1)\rceil$. In the present paper we characterize the restricted enveloping algebras whose Lie derived length coincides with this lower bound.
Restricted enveloping algebras with minimal Lie derived length
CATINO, Francesco;SICILIANO, Salvatore;
2010-01-01
Abstract
Let L be a non-abelian restricted Lie algebra over a field of characteristic p>0 and let u(L) denote its restricted enveloping algebra. In 2006 it was proved that if u(L) is Lie solvable then the Lie derived length of u(L) is at least $\lceil\log_2(p+1)\rceil$. In the present paper we characterize the restricted enveloping algebras whose Lie derived length coincides with this lower bound.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
