Generalization of the $h$-Deformation to Higher Dimensions

Abstract

In this article we construct $G{L}_h(3)$ from $G{L}_q(3)$ by a singular map. We show that there exist two singular maps which map $G{L}_q(3)$ 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.

LaTeX file, 9 pages.

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