scientific article; zbMATH DE number 768034

zbMath0840.17001MaRDI QIDQ4837260

Jaak Lõhmus, Eugen Paal, Leo Sorgsepp

Publication date: 27 June 1995

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

quantizationDirac equationsedenionsself-dual Yang-Mills equationsMoufang loopsoctonionsMalcev algebrasnonassociative algebrasrepresentations of Clifford algebrasCayley-Dickson algebrasbirepresentationapplication to physics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) Mal'tsev rings and algebras (17D10) Nonassociative division algebras (17A35) General theory of nonassociative rings and algebras (17A01)

Related Items (12)

\(S_3\) invariants of finite dimensional real division algebras ⋮ Geometrical applications of split octonions ⋮ The octonions ⋮ Rotations in the space of Split octonions ⋮ Unnamed Item ⋮ Differential equations of smooth loops related to some space-time models: Integrability conditions and geometry ⋮ Quaternionic Kähler manifolds, constrained instantons and the magic square. I. ⋮ Analytic loops and gauge fields ⋮ Compact Exceptional Simple Kantor Triple Systems Defined on Tensor Products of Composition Algebras∗ ⋮ Local algebras of a differential quasigroup ⋮ Octonionic geometry and conformal transformations ⋮ Models of Compact Simple Kantor Triple Systems Defined on a Class of Structurable Algebras of Skew-Dimension One

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