Foundations of Quantum Group Theory

A graduate level text which systematically lays out the foundations of Quantum Groups.

Now in paperback, this graduate level text for theoretical physicists and mathematicians systematically lays out the foundations for the subject of Quantum Groups. Explicit proofs and many examples will allow the reader quickly to pick up the techniques needed for working in this exciting new field.Now in paperback, this is a graduate level text for theoretical physicists and mathematicians which systematically lays out the foundations for the subject of Quantum Groups in a clear and accessible way. The topic is developed in a logical manner with quantum groups (Hopf Algebras) treated as mathematical objects in their own right. After formal definitions and basic theory, the book goes on to cover such topics as quantum enveloping algebras, matrix quantum groups, combinatorics, cross products of various kinds, the quantum double, the semiclassical theory of Poisson-Lie groups, the representation theory, braided groups and applications to q-deformed physics. Explicit proofs and many examples will allow the reader quickly to pick up the techniques needed for working in this exciting new field.