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Symplectic, orthogonal and linear Lie groups in Clifford algebra (1409.2452v2)

Published 8 Sep 2014 in math-ph and math.MP

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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