Symmetric Symplectic Commutative Associative Algebras and Related Lie Algebras

DOI10.1142/S100538671100085XzbMath1294.17022OpenAlexW2100350948WikidataQ115244897 ScholiaQ115244897MaRDI QIDQ2877020

Saïd Benayadi, Amir Baklouti

Publication date: 21 August 2014

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s100538671100085x

zbMATH Keywords

Hochschild cohomologycyclic cohomologyTits-Kantor-Koecher construction\(T^\ast\)-extensionsymmetric symplectic associative algebrassymmetric symplectic double extensionsymplectic quadratic Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Superalgebras (17A70) Solvable, nilpotent (super)algebras (17B30) Quadratic and bilinear forms, inner products (15A63) Lie algebras and Lie superalgebras (17B99)

Related Items (2)

Quadratic Hom-Lie triple systems ⋮ Inductive Description of Quadratic Lie and Pseudo-Euclidean Jordan Triple Systems

Cites Work

• Pseudo-Riemannian symmetric spaces

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