Classification of Lie algebras of specific type in complexified Clifford algebras

DOI10.1080/03081087.2017.1376612zbMath1393.17034arXiv1704.03713OpenAlexW3104001978WikidataQ115299543 ScholiaQ115299543MaRDI QIDQ4580055

Dmitry Shirokov

Publication date: 13 August 2018

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.03713

zbMATH Keywords

Lie algebraLie groupClifford algebraspin groupquaternion type

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Clifford algebras, spinors (15A66) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (5)

Calculation of the exponential in arbitrary \(Cl_{p,q}\) Clifford algebra ⋮ On some Lie groups in degenerate Clifford geometric algebras ⋮ On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension ⋮ On inner automorphisms preserving fixed subspaces of Clifford algebras ⋮ On the problem of choosing subgroups of Clifford algebras for applications in fundamental physics

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• A classification of Lie algebras of pseudo-unitary groups in the techniques of Clifford algebras

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