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Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach Rutilius Taurus Aemilianus Grid Computing: International Symposium onChapter 1 The algebraic prerequisites for the book are covered here and in the appendix. This chapter should be used as reference material and should be consulted as needed. A systematic treatment of algebras, coalgebras, bialgebras, Hopf algebras, and represen tations of these objects to the extent needed for the book is given. The material here not specifically cited can be found for the most part in [Sweedler, 1969] in one form or another, with a
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