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arXiv · 1409.2452

Symplectic, orthogonal and linear Lie groups in Clifford algebra

D. S. Shirokov
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Abstract

In this paper we prove isomorphisms between 5 Lie groups (of arbitrary dimension and fixed signatures) in Clifford algebra and classical matrix Lie groups - symplectic, orthogonal and linear groups. Also we obtain isomorphisms of corresponding Lie algebras.

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D. S. Shirokov. 2024-12-22. Symplectic, orthogonal and linear Lie groups in Clifford algebra. https://doi.org/10.1007/s00006-014-0520-y

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