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arxiv: 1308.1756 · v1 · pith:2YN45QACnew · submitted 2013-08-08 · 🧮 math.RT · math.QA

Diagram automorphisms and Rank-Level duality

classification 🧮 math.RT math.QA
keywords rank-leveldualityautomorphismsdiagramdualitiesgenusarisingchosen
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We study the effect of diagram automorphisms on rank-level duality. We use it to prove new symplectic rank-level dualities on genus zero smooth curves with marked points and chosen coordinates. We also show that rank-level dualities for the pair sl(r), sl(s) in genus 0 arising from representation theory can also be obtained from the parabolic strange duality proved by R. Oudompheng.

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