The level-rank duality for non-abelian theta functions

The level-rank duality for non-abelian theta functions

We prove that the strange duality conjecture of Beauville-Donagi-Tu holds for all curves. We establish first a more extended level-rank duality, interesting in its own right, from which the standard level-rank duality follows by restriction. [PUBLICATION ABSTRACT]

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Veröffentlicht in:Inventiones mathematicae 2007-05, Vol.168 (2), p.225-247
Hauptverfasser: Marian, Alina, Oprea, Dragos
Format: Artikel
Sprache:eng
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Zusammenfassung:We prove that the strange duality conjecture of Beauville-Donagi-Tu holds for all curves. We establish first a more extended level-rank duality, interesting in its own right, from which the standard level-rank duality follows by restriction. [PUBLICATION ABSTRACT]
ISSN:0020-9910
1432-1297
DOI:10.1007/s00222-006-0032-z