About nonassociativity in mathematics and physics

DOI10.1023/A:1005854831381zbMath0938.17001OpenAlexW179428482MaRDI QIDQ1383866

Eugen Paal, Jaak Lõhmus, Leo Sorgsepp

Publication date: 25 June 2000

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1005854831381

zbMATH Keywords

quasigroupsoctonionsnonassociative algebraLie-admissible

Mathematics Subject Classification ID

Groups and algebras in quantum theory (81R99) Loops, quasigroups (20N05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) Alternative rings (17D05) Mal'tsev rings and algebras (17D10) Lie-admissible algebras (17D25)

Related Items (12)

Geometrical applications of split octonions ⋮ Recoupling Lie algebra and universal ω-algebra ⋮ Nonassociativity à la Kleene ⋮ Unnamed Item ⋮ Colorless operators in a non-associative quantum theory ⋮ A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields ⋮ The Next Step Beyond Graded Lie Algebra: Recoupling Lie Algebra ⋮ Nonassociativity, supersymmetry, and hidden variables ⋮ On Lie-admissible algebras whose commutator Lie algebras are Lie subalgebras of prime associative algebras ⋮ AN ALGEBRAIC APPROACH TO SYMMETRIC PRE-MONOIDAL STATISTICS ⋮ A NONASSOCIATIVE QUATERNION SCALAR FIELD THEORY ⋮ Continuity of homomorphisms into power-associative complete normed algebras

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