On Inner Automorphisms Preserving Fixed Subspaces of Clifford Algebras

In this paper, we consider inner automorphisms that leave invariant fixed subspaces of real and complex Clifford algebras—subspaces grades determined by the reversion grade involution. We present groups elements define such study their properties. Some these Lie can be interpreted as generalizations Clifford, Lipschitz, spin groups. corresponding algebras. results reformulated for case more general algebras—graded central simple algebras or graded with