The Tits–Kantor–Koecher Construction for Jordan Dialgebras

DOI10.1080/00927871003591967zbMath1272.17032arXiv0907.1740OpenAlexW1984260596MaRDI QIDQ3084556

Pavel Sergeevich Kolesnikov, Vsevolod Yur'evich Gubarev

Publication date: 25 March 2011

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

Full work available at URL: https://arxiv.org/abs/0907.1740

zbMATH Keywords

Jordan algebraLeibniz algebraconformal algebradialgebraquasi-Jordan algebra

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Leibniz algebras (17A32) Jordan algebras (algebras, triples and pairs) (17C99)

Related Items

SPECIAL AND EXCEPTIONAL JORDAN DIALGEBRAS, Embedding of dendriform algebras into Rota-Baxter algebras, Jordan triple disystems, Leibniz algebras graded by finite root systems of type \(C_l\), The Cayley–Dickson process for dialgebras

Cites Work

• On free conformal and vertex algebras
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Koszul duality for operads
• Steinberg-Leibniz algebras and superalgebras
• A structure theory for Jordan algebras
• Quasi-Jordan Algebras
• Identities of Conformal Algebras and Pseudoalgebras
• Theory of finite pseudoalgebras
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