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Published in:
1995 | OriginalPaper | Chapter
Introduction
Author : Anthony Joseph
Published in: Quantum Groups and Their Primitive Ideals
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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A quantum group $$\mathfrak{G}$$ is at present a purely mythical being to which one nevertheless associates a Hopf algebra R q [G]resembling the algebra of regular functions R[G]on a (genuine) affine algebraic group G. It is supposed that if $$\mathfrak{G}$$ were to exist it would have the same representations as those of G.This is expressed by requiring R q [G] and R[G] to be isomorphic as coalgebras.