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Real forms ofUq(g)

✍ Scribed by Eric Twietmeyer

Publisher
Springer
Year
1992
Tongue
English
Weight
492 KB
Volume
24
Category
Article
ISSN
0377-9017

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✦ Synopsis

In this Letter we consider the real forms of quantum groups associated to generalized Cartan matrices. There are two main results. The first is a description of the Hopf algebra automorphisms and of the Hopf .-algebra structures of the quantum group. This immediately yields a precise description of the real forms. The second result establishes a correspondence of these real forms when the quantum group is associated to a complex simple Lie algebra with objects associated to the real forms of the classical object.

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