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 Siciliano (Publ Math (Debr) 68:503-513, 2006) it was proved that if u(L) is Lie solvable then the Lie derived length of u(L) is at least ?log2(p+1)?. In the present paper we characterize the restricted enveloping algebras whose Lie derived length coincides with this lower bound. © 2009 Springer Science+Business Media B.V.
Restricted enveloping algebras with minimal lie derived length / Francesco, Catino; Salvatore, Siciliano; Spinelli, Ernesto. - In: ALGEBRAS AND REPRESENTATION THEORY. - ISSN 1386-923X. - STAMPA. - 13:6(2010), pp. 653-660. [10.1007/s10468-009-9165-2]
Restricted enveloping algebras with minimal lie derived length
SPINELLI, ERNESTO
2010
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 Siciliano (Publ Math (Debr) 68:503-513, 2006) it was proved that if u(L) is Lie solvable then the Lie derived length of u(L) is at least ?log2(p+1)?. In the present paper we characterize the restricted enveloping algebras whose Lie derived length coincides with this lower bound. © 2009 Springer Science+Business Media B.V.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
