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arXiv · 0805.1738

Rank-level duality of conformal blocks of GL_n and SL_n

Rémy Oudompheng
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Abstract

We generalise the proof by Marian and Oprea of rank-level duality for non-abelian theta functions to the case of sections of line bundles (conformal blocks) over moduli spaces of parabolic vector bundles over a projective smooth curve. We also describe how it implies the rank-level duality between conformal blocks of Sp(2) and Sp(2n).

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Rémy Oudompheng. 2008-05-16. Rank-level duality of conformal blocks of GL_n and SL_n. https://arxiv.org/abs/0805.1738

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