An envelope for Bol algebras

DOI10.1016/j.jalgebra.2004.09.038zbMath1065.17015OpenAlexW1977945868WikidataQ56267437 ScholiaQ56267437MaRDI QIDQ1770444

José María Pérez-Izquierdo

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.09.038

zbMATH Keywords

Bol algebrasLoops and nonassociative algebrasUniversal enveloping algebras

Mathematics Subject Classification ID

Alternative rings (17D05) Ternary compositions (17A40)

Related Items (13)

Quasitriangular Hopf group-quasialgebras and generalized quantum Yang–Baxter equations ⋮ Lie's correspondence for commutative automorphic formal loops ⋮ Ideals in non-associative universal enveloping algebras of Lie triple systems ⋮ Algebras, hyperalgebras, nonassociative bialgebras and loops ⋮ Free generic Poisson fields and algebras ⋮ Free braided nonassociative Hopf algebras and Sabinin \(\tau\)-algebras ⋮ Special identities for Bol algebras ⋮ Discrete mechanics on unitary octonions ⋮ Unnamed Item ⋮ Constants of partial derivations and primitive operations ⋮ Polynomial Identities for Tangent Algebras of Monoassociative Loops ⋮ Hom-Lie triple system and Hom-Bol algebra structures on Hom-Maltsev and right Hom-alternative algebras ⋮ Hopf algebras in non-associative Lie theory

Cites Work

• On the tensor product of composition algebras
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