English

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

Quantum Algebra 2016-09-07 v1

Abstract

The non commuting matrix elements of matrices from quantum group GLq(2;C)GL_q(2;C) with qωq\equiv \omega being the nn-th root of unity are given a representation as operators in Hilbert space with help of C4(n)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.

Keywords

Cite

@article{arxiv.math/0403061,
  title  = {On Generalized Clifford Algebra $C_4^{(n)}$ and $GL_q(2;C)$ Quantum Group},
  author = {A. K. kwasniewski},
  journal= {arXiv preprint arXiv:math/0403061},
  year   = {2016}
}

Comments

12 pages

R2 v1 2026-07-22T17:03:06.298Z