A classification of Lie algebras of pseudounitary groups in the techniques of Clifford algebras

Abstract

In this paper we present new formulas, which represent commutators and anticommutators of Clifford algebra elements as sums of elements of different ranks. Using these formulas we consider subalgebras of Lie algebras of pseudounitary groups. Our main techniques are Clifford algebras. We have find 12 types of subalgebras of Lie algebras of pseudounitary groups.

18 pages

References in corpus (1)

• Unitary spaces on Clifford algebras

Cited by in corpus (13)

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• Self-adjoint Elements in the Pseudo-unitary Group $\mathbf{U}\left(p,p\right)$
• Development of the Method of Averaging in Clifford Geometric Algebras
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• Polar analysis of the Dirac equation through dimensions