Some examples of quantum groups in higher genus

Details Some examples of quantum groups in higher genus Some examples of quantum groups in higher genus

1998-01-09

arxiv.org/abs/math/9801037v2

Mathematics

Quantum Algebra

corrections according to the changes in q-alg/9608005

Scientific paper

This is a survey of our construction of current algebras, associated with complex curves and rational differentials. We also study in detail two classes of examples. The first is the case of a rational curve with differentials $z^n dz$; these algebras are ``building blocks'' for the quantum current algebras introduced in our earlier work. The second is the case of a genus $>1$ curve $X$, endowed with a regular differential having only double zeroes.

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