Application of the method of quaternion typification for finding subalgebras and Lie subalgebras of Clifford algebras

2009/04/11 by Dmitry Shirokov, Shirokov, Dmitry
Mathematics · #15A66 #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.0904.1811

openalex publication_date 2009/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we further develop the method of quaternion typification of Clifford algebra elements suggested by the author in the previous papers. On the basis of new classification of Clifford algebra elements it is possible to find out and prove a number of new properties of Clifford algebra. In particular, we find subalgebras and Lie subalgebras of Clifford algebra and subalgebras of the Lie algebra of the pseudo-unitary Lie group.

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