ON ISOMORPHISM OF LIE ALGEBRAS WITH ONE DEFINING RELATION

DOI10.1142/S0218196704001773zbMath1107.17002OpenAlexW2073180914WikidataQ115245924 ScholiaQ115245924MaRDI QIDQ5692243

Vladimir Shpilrain, Ualbei Utmakhanbetovich Umirbaev, Alexander A. Mikhalev

Publication date: 27 September 2005

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196704001773

zbMATH Keywords

isomorphismsfree Lie algebrasdefining relationsTietze transformations

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Free nonabelian groups (20E05)

Related Items (3)

Primitive and almost primitive elements of Schreier varieties ⋮ Gröbner–Shirshov bases and their calculation ⋮ Primitive elements of free Lie \(p\)-algebras

Cites Work

• A group with an infinite number of Nielsen inequivalent one-relator presentations
• On free products with amalgamation of two infinite cyclic groups
• PRIMITIVE ELEMENTS OF FREE METABELIAN ALGEBRAS OF RANK TWO
• FACTOR ALGEBRAS OF FREE ALGEBRAS: ON A PROBLEM OF G. BERGMAN
• RANK AND PRIMITIVITY OF ELEMENTS OF FREE COLOUR LIE (p-)SUPERALGEBRAS
• Automorphic orbits in free non-associative algebras

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