Symmetric polynomials in Leibniz algebras and their inner automorphisms

DOI10.3906/mat-2006-44OpenAlexW3098212368WikidataQ123240320 ScholiaQ123240320MaRDI QIDQ5099827

Şehmus Findik, Zeynep Özkurt

Publication date: 26 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13110

zbMATH Keywords

automorphismssymmetric polynomialsLeibniz algebrasmetabelian identity

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Free nonassociative algebras (17A50)

Related Items (4)

Symmetric polynomials in the free metabelian associative algebra of rank 2 ⋮ Symmetric polynomials of algebras related with 2 × 2 generic traceless matrices ⋮ Symmetric polynomials in the variety generated by Grassmann algebras ⋮ Symmetric polynomials in the free metabelian Poisson algebras

Cites Work

• Unnamed Item
• Universal enveloping algebras of Leibniz algebras and (co)homology
• A noncommutative version of Lie algebras: Leibniz algebras
• Noncommutative symmetric functions
• Symmetric polynomials in the free metabelian Lie algebras
• Invariants and Coinvariants of the Symmetric Group in Noncommuting Variables
• Fixed Algebras of Residually Nilpotent Lie Algebras
• Subalgebras of free leibniz algebras
• VARIETIES OF METABELIAN LEIBNIZ ALGEBRAS
• On the Fixed Points of a Finite Group Acting on a Free Lie Algebra
• Palindromes in the free metabelian Lie algebras
• Orbits and Test Elements in Free Leibniz Algebras of Rank Two
• On the 14-th Problem of Hilbert
• Algorithms in invariant theory

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