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## Symplectic, orthogonal and linear Lie groups in Clifford algebra

Advances in Applied Clifford Algebras. 2015. Vol. 25. No. 3. P. 707-718.

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.