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On Generalized Clifford Algebra $C_4^{(n)}$ and $GL_q(2;C)$ Quantum Group

A. K. kwasniewski
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Abstract

The non commuting matrix elements of matrices from quantum group $GL_q(2;C)$ with $q\equiv ω$ being the $n$-th root of unity are given a representation as operators in Hilbert space with help of $C_4^{(n)}$ generalized Clifford algebra generators appropriately tensored with unit $% 2\times 2$ matrix infinitely many times. Specific properties of such a representation are presented.

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BibTeXRIS

A. K. kwasniewski. 2004-03-03. On Generalized Clifford Algebra $C_4^{(n)}$ and $GL_q(2;C)$ Quantum Group. https://arxiv.org/abs/math/0403061

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