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    Multiparameter Quantum Supergroups, Michiel Hazewinkel
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    ABSTRACT: This paper is supplementary to my paper "Multiparameter Quantum Groups and Multiparameter R-Matrices", [5]. Its main purpose is to point out that among the single block solutions of the Yang-Baxter equation given in [5] there occurs an Gamma n+m 2 Delta + 1 parameter quantum deformation of the supergroup GL(mjn) for every n; m 1. AMS Subject Classification (1991): 16W30, 16W55, 17B70, 17C70, 81R50, 17B37 Keywords & Phrases: supergroup, quantum supergroup, Yang-Baxter equation, multiparameter quantum algebra, Hopf algebra, multiparameter quantum supergroup, bialgebra, FRT construction. 1. Introduction Let K be any field of charcteristic 6= 2 and consider the free associative algebra K! t ? = K ! t 1 1 ; : : : ; t 1 n ; t 2 1 ; : : : ; t 2 n ; : : : ; t n 1 ; : : : ; t n n ? over K in n 2 (noncommuting) indeterminates t 1 1 ; : : : ; t n n . Let R = (R ab cd ) be any n 2 Theta n 2 matrix with coefficients in K (and its rows and columns numbered 11; : : :...
    12/1996;