Deformations of quantum hyperplanes

Abstract

Abstract. We consider the quantum hyperplane x'xJ= q,jxJx ' (i, j = 1..n) and define and consider = 'J and fl'J are complex numbers. We deformations of the form x'x J q,~ x J x ~ + Zk ~J X k + fl'J, where ~k prove that for generic q,j no nontrivial deformations exist for n/> 3 Mathematics Subject Classifications (1991). 17B37, 16E40.