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Preliminaries

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

Abstract

The goal of this first chapter is the construction of polynomial algebras GL(2) and SL(2) modelling the 2 × 2-matrices with invertible determinant [resp. with determinant equal to 1]. The multiplication of matrices induces an additional structure on these algebras. This structure is one of the basic ingredients of what will be called a Hopf algebra in Chapter III. We com-plete the chapter with various concepts of ring theory to be used in the sequel. The ground field is denoted by k.

Keywords

Hopf Algebra Left Ideal Commutative Algebra Algebra Structure Free 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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