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ISSN 1088-6850(e) ISSN 0002-9947(p)

Reciprocity Laws in the Verlinde Formulae for the Classical Groups

Author(s): W. M. Oxbury; S. M. J. Wilson
Journal: Trans. Amer. Math. Soc. 348 (1996), 2689-2710.
MSC (1991): Primary 14D20, 14H15
MathSciNet review: 1340183
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Abstract: The Verlinde formula is computed for each of the simply-connected classical Lie groups, and it is shown that the resulting formula obeys certain reciprocity laws with respect to the exchange of the rank and the level. Some corresponding dualities between spaces of sections of theta line bundles over moduli spaces of $G$ -bundles on curves are conjectured but not proved.

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