Rank-level duality of conformal blocks of GL_n and SL_n

Details Rank-level duality of conformal blocks of GL_n and SL_n Rank-level duality of conformal blocks of GL_n and SL_n

2008-05-12

arxiv.org/abs/0805.1738v3

Mathematics

Algebraic Geometry

29 pages, changes in phrasing

Scientific paper

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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