**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