Tamaz Chantladze, Nodar Kandelaki, Douglas Ugulava

On Some Matrix Clifford Algebras

Abstract:
A sequence of matrices $U_1,U_2,\dots,U_m$ is constructed, which satisfies the conditions $U_iU_j=-U_jU_i$ $(i\neq j)$, $U_i^2=-I$. These matrices are used to construct representations of a Clifford algebra for special quadratic forms.

Keywords:
Clifford algebra, quadratic form, matrix algebra, associative ring.

MSC 2000: 15A66