Infinite dimensional Lie superalgebras

Yu. A. Bakhturin, Mikhail V. Zaicev, Alexander A. Mikhalev, Victor M. Petrogradsky

Publication date: 23 January 1993

Published in: De Gruyter Expositions in Mathematics (Search for Journal in Brave)

free algebra free products universal enveloping algebra finiteness conditions diamond lemma Poincaré-Birkhoff-Witt theorem colour Lie superalgebra amalgamated subalgebra identities in enveloping algebras irreducible representations of Lie superalgebras

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Universal enveloping (super)algebras (17B35) Color Lie (super)algebras (17B75) Identities, free Lie (super)algebras (17B01) Infinite-dimensional Lie (super)algebras (17B65) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Graded Lie (super)algebras (17B70) Graded rings and modules (associative rings and algebras) (16W50) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02)

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