Restricted Lie Algebras and Their Envelopes
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Publication:4838605
DOI10.4153/CJM-1995-008-7zbMath0833.16024MaRDI QIDQ4838605
Publication date: 12 March 1996
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
groups of unitsrestricted enveloping algebrasrestricted Lie algebrasaugmentation idealnilpotence classnilpotence indexdimension subalgebrasresidually nilpotent ideals
Universal enveloping (super)algebras (17B35) Units, groups of units (associative rings and algebras) (16U60) Modular Lie (super)algebras (17B50) Universal enveloping algebras of Lie algebras (16S30)
Related Items (25)
Completion of restricted Lie algebras ⋮ Identities in group rings, enveloping algebras and Poisson algebras ⋮ The number of generators of ideals in graded group algebras and \(p\)-adic analytic pro-\(p\) groups of dimension one ⋮ Enveloping algebras that are principal ideal rings ⋮ On Lie solvable restricted enveloping algebras. ⋮ PI-algebras generated by nilpotent elements of bounded index ⋮ When is a power of the Frobenius map on a noncommutative ring a homomorphism? ⋮ Lie structure of truncated symmetric Poisson algebras ⋮ Finitely presented metabelian restricted Lie algebras ⋮ Zassenhaus and lower central filtrations of pro-\(p\) groups considered as modules ⋮ Filtered multiplicative bases of restricted enveloping algebras ⋮ THE FOX PROBLEM FOR FREE RESTRICTED LIE ALGEBRAS ⋮ The restricted isomorphism problem for metacyclic restricted Lie algebras ⋮ Identifications in modular group algebras. ⋮ Codimension Growth of Strong Lie Nilpotent Associative Algebras ⋮ Fox-type problems in enveloping algebras ⋮ Lie structure of smash products ⋮ On the growth of subalgebras in Lie \(p\)-algebras ⋮ Infinitesimally PI radical algebras ⋮ The Dimension Subalgebra Problem for Enveloping Algebras of Lie Superalgebras ⋮ Lie Nilpotency Indices of Restricted Universal Enveloping Algebras ⋮ A note on Lie nilpotent group algebras ⋮ Restricted Lie algebras having a distributive lattice of restricted subalgebras ⋮ On powerful andp-central restricted Lie algebras ⋮ On filtered multiplicative bases of some associative algebras.
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