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The Verlinde formula for PGL(p)

Arnaud Beauville
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Abstract

Let G be a complex semi-simple group, X a Riemann surface, M_G the moduli space of principal G-bundles on X. When G is simply-connected, there exists a closed formula expressing the dimension of the space H^0(M_G,L) for any line bundle L on M_G (this is usually called among mathematicians, somewhat incorrectly, the "Verlinde formula").In this paper we find an analogous formula for G = PGL(r) where r is prime.

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Arnaud Beauville. 1996-09-24. The Verlinde formula for PGL(p). https://arxiv.org/abs/alg-geom/9609017

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