%0 Journal Article %T Symplectic, orthogonal and linear Lie groups in Clifford algebra %A D. S. Shirokov %J Physics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1409.2452v1