Abstract

This article describes recent work on new classes of non-commutative algebras which have been dubbed quantum algebras, quantum groups, and quantized enveloping algebras. The basic ring theoretic properties are described, and a number of questions and problems are raised.KeywordsHopf AlgebraQuantum GroupBraid GroupAlgebra HomomorphismCoordinate RingThese 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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