Perfect and semiperfect restricted enveloping algebras

2016/10/20 by Siciliano, Salvatore, Usefi, Hamid
#16P70 #17B35 #17B50 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1610.06516

Abstract

For a restricted Lie algebra L, the conditions under which its restricted enveloping algebra u(L) is semiperfect are investigated. Moreover, it is proved that u(L) is left (or right) perfect if and only if L is finite-dimensional.

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