The Quantum Plane and Its Symmetries
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In Chapter I we defined the affine plane as the algebra freely generated by two variables x and y subject to the trivial commutation relation yx = xy. This corresponds to our classical perception of plane geometry. In this chapter, we consider a modified commutation relation depending on a pa-rameter q, namely
KeywordsHopf Algebra Quantum Group Free Algebra Affine Plane Quadratic Algebra
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