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

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

2004-03-03

arxiv.org/abs/math/0403061v1

Advances in Applied Clifford Algebras 9 (2). (1999): 249-260

Mathematics

Quantum Algebra

12 pages

Scientific paper

The non commuting matrix elements of matrices from quantum group $GL_q(2;C)$ with $q\equiv \omega $ 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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