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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Shirokov, D.S. Symplectic, Orthogonal and Linear Lie Groups in Clifford Algebra. Adv. Appl. Clifford Algebras 25, 707–718 (2015). https://doi.org/10.1007/s00006-014-0520-y
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DOI: https://doi.org/10.1007/s00006-014-0520-y