Identities in matrix Lie algebras

DOI10.1007/BF01085042zbMath0586.17010OpenAlexW2040668941MaRDI QIDQ1071856

Vesselin Drensky

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01085042

zbMATH Keywords

finite basis of identitiesvariety of Lie algebrascritical algebrafinite field of characteristic twofree algebra of infinite ranksecond-order matrix Lie algebra

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Identities, free Lie (super)algebras (17B01) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Rings with polynomial identity (16Rxx)

Related Items

Weak polynomial identities and their applications ⋮ Singularities of quotients by vector fields in characteristic \(p\)

Cites Work

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• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• Varieties of groups
• VARIETIES OF LIE ALGEBRAS