VARIETIES OF METABELIAN LEIBNIZ ALGEBRAS

DOI10.1142/S0219498802000033zbMath1025.17001OpenAlexW1964656021WikidataQ123362536 ScholiaQ123362536MaRDI QIDQ4416640

Giulia Maria Piacentini Cattaneo, Vesselin Drensky

Publication date: 6 August 2003

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498802000033

zbMATH Keywords

Hilbert seriespolynomial identitiesLeibniz algebrarelatively free algebrametabelian identity

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32) Free nonassociative algebras (17A50)

Related Items (13)

Itô’s theorem and metabelian Leibniz algebras ⋮ Unnamed Item ⋮ Gröbner–Shirshov bases theory for Leibniz superalgebras ⋮ Almost nilpotent varieties with non-integer exponents do exist ⋮ Metabelian associative algebras ⋮ Symmetric polynomials in Leibniz algebras and their inner automorphisms ⋮ Endomorphisms which preserve orbits of free metabelian Leibniz algebras ⋮ Varieties of null-filiform Leibniz algebras under the action of Hopf algebras ⋮ On almost nilpotent varieties of subexponential growth ⋮ Automorphisms of Free Left Nilpotent Leibniz Algebras and Fixed Points ⋮ ALMOST NILPOTENT VARIETIES OF LEIBNIZ ALGEBRAS ⋮ A Leibniz variety with almost polynomial growth ⋮ Automorphisms of free metabelian Leibniz algebras

Cites Work

• Applications of a noncommutative Jacobian matrix
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Subalgebras of free leibniz algebras

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