Clifford Algebras of Polynomials Generalized Grassmann Algebras and   q-Deformed Heisenberg Algebras
  Classification of finite dimensional representations of the q-deformed Heisenberg algebra $H_q(3)$ is made by the help of Clifford algebra of polynomials and generalized Grassmann algebra. Special attention is paid when $q$ is a primitive $n$ root of unity. As a further application we obtain finite dimensional representations of $ sl(2)_q$ using its embedding into $H_q(3)$. 
M. Rausch de Traubenberg