Finite basis property for the identities of representations of a simple three-dimensional Lie algebra over a field of characteristic zero

DOI10.1090/TRANS2/140/06zbMath0658.17014OpenAlexW4214639722MaRDI QIDQ3807398

Yuri P. Razmyslov

Publication date: 1988

Published in: Eleven Papers Translated from the Russian (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/trans2/140/06

zbMATH Keywords

idealfinite basis propertycharacteristic zeroweak polynomial identitiessimple three-dimensional Lie algebra

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20) Lie algebras and Lie superalgebras (17B99) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Rings with polynomial identity (16Rxx)

Related Items (2)

Weak polynomial identities and their applications ⋮ Cocharacters for the weak polynomial identities of the Lie algebra of \(3 \times 3\) skew-symmetric matrices

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