TENSOR LINEAR GROUPS

Abstract

Associative transvections among tensor spaces are discussed, when \(\mu=2\nu\) or \(\mu=2^\nu\). The transvections can be treated as group operations giving rise to constructions of linear groups. In the case \(\mu=2^\nu\) each \(\mathcal{T}_\nu^\mu(C^n)\) enables us to obtain a finite sequence of tensor linear groups.