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The Quantum Plane and Its Symmetries

Chapter
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Part of the Graduate Texts in Mathematics book series (GTM, volume 155)

Abstract

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

Keywords

Hopf Algebra Quantum Group Free Algebra Affine Plane Quadratic Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  1. 1.Institut de Recherche Mathématique AvancéeUniversité Louis Pasteur-C.N.R.S.StrasbourgFrance

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