On FRT-Clifford Algebras
Quantum Algebra
2016-09-07 v1
Abstract
We study the q-Clifford algebras Cl_q(N,c), called FRT-Clifford algebras, introduced by Faddeev, Reshetikhin and Takhtajan. It is shown that Cl_q(N,c) acts on the q-exterior algebra \Lambda(O_q^N). Moreover, explicit formulas for the embedding of U_q(so_N) into Cl_q(N,c) and its relation to the vector and spin representations of U_q(so_N) are given and proved. Key Words: q-Clifford algebra, Drinfeld-Jimbo algebra, spin representation
Keywords
Cite
@article{arxiv.math/0010250,
title = {On FRT-Clifford Algebras},
author = {I. Heckenberger and A. Schueler},
journal= {arXiv preprint arXiv:math/0010250},
year = {2016}
}
Comments
LaTeX2e, 28 pages, 3 figures