For a restricted Lie algebra L over a field of characteristic p > 0 we study the Lie nilpotency index t L ( u ( L )) of its restricted universal enveloping algebra u ( L ). In particular, we determine an upper and a lower bound for t L ( u ( L )). Finally, under the assumption that L is p -nilpotent and finite-dimensional, we establish when the Lie nilpotency index of u ( L ) is maximal.
Lie nilpotency indices of restricted universal enveloping algebras / Salvatore, Siciliano; Spinelli, Ernesto. - In: COMMUNICATIONS IN ALGEBRA. - ISSN 0092-7872. - STAMPA. - 34:1(2006), pp. 151-157. [10.1080/00927870500346131]
Lie nilpotency indices of restricted universal enveloping algebras
SPINELLI, ERNESTO
2006
Abstract
For a restricted Lie algebra L over a field of characteristic p > 0 we study the Lie nilpotency index t L ( u ( L )) of its restricted universal enveloping algebra u ( L ). In particular, we determine an upper and a lower bound for t L ( u ( L )). Finally, under the assumption that L is p -nilpotent and finite-dimensional, we establish when the Lie nilpotency index of u ( L ) is maximal.File allegati a 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.
