C. De Concini
- Geometry of the analytic loop group
- Advances in Mathematics
- Volume | Issue number
- 238 | 1
- Pages (from-to)
- Document type
- Faculty of Science (FNWI)
- Korteweg-de Vries Institute for Mathematics (KdVI)
We introduce and study a notion of analytic loop group with a Riemann-Hilbert factorization relevant for the representation theory of quantum affine algebras at roots of unity View the MathML source with non-trivial central charge. We introduce a Poisson structure and study properties of its Poisson dual group. We prove that the Hopf-Poisson structure is isomorphic to the semi-classical limit of the center of View the MathML source (it is a geometric realization of the center). Then the symplectic leaves, and corresponding equivalence classes of central characters of View the MathML source, are parameterized by certain G-bundles on an elliptic curve.
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