Generalization of the $h$-Deformation to Higher Dimensions

Details Generalization of the $h$-Deformation to Higher Dimensions Generalization of the $h$-Deformation to Higher Dimensions

1995-08-21

arxiv.org/abs/q-alg/9508010v1

Mathematics

Quantum Algebra

LaTeX file, 9 pages.

Scientific paper

10.1088/0305-4470/28/21/021

In this article we construct $GL_{h}(3)$ from $GL_{q}(3)$ by a singular map.
We show that there exist two singular maps which map $GL_{q}(3)$ to new quantum
groups. We also construct their $R$-matrices and will show although the maps
are singular but their $R$-matrices are not. Then we generalize these singular
maps to the case $GL(N)$ and for $C_{n}$ series.

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