Realifications of complex quantum groups

Abstract

The author gives a general scheme for investigatingrealifications of complex quantum groups. That means he startsfrom a complex quantum group and then proceeds with thecorresponding real quantum group consisting of holomorphic andantiholomorphic polynomials on the group. As an example a(2N\sp 2 5N+5) parameter quantum deformation of therealification of {\rm SL}(N,{\bf C}) is constructed.\par {Forthe entire collection see MR\Cite{Gielerak92:Quantum:Kluwer}[93h:00021].}