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Clifford Algebras of Polynomials Generalized Grassmann Algebras and q-Deformed Heisenberg Algebras

M. Rausch de Traubenberg
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Abstract

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 $H_q(3)$.

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M. Rausch de Traubenberg. 1994-04-11. Clifford Algebras of Polynomials Generalized Grassmann Algebras and q-Deformed Heisenberg Algebras. https://arxiv.org/abs/hep-th/9404057

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