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

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

1994-04-11

arxiv.org/abs/hep-th/9404057v1

Adv.Appl.CliffordAlg.4:131-144,1994

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, CRN-94-17, PLAIN-TEX

Scientific paper

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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