In mathematics, particularly in the theory of spinors, the Weyl-Brauer matrices are an explicit realization of a Clifford algebra as a matrix algebra. They generalize to n dimensions the Pauli matrices. They are named for Richard Brauer and Hermann Weyl, , and were one of the first attempts to approach systematically the problem of spinors from a representation theoretic standpoint. The matrices are formed by taking tensor products of the Pauli matrices, and the space of spinors may then be realized as the column vectors on which the Weyl-Brauer matrices act.