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The Mukhin―Varchenko conjecture for type $A$

Abstract : We present a generalisation of the famous Selberg integral. This confirms the $\mathfrak{g}=A_n$ case of a conjecture by Mukhin and Varchenko concerning the existence of a Selberg integral for each simple Lie algebra $\mathfrak{g}$.
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S. Ole Warnaar. The Mukhin―Varchenko conjecture for type $A$. 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008), 2008, Viña del Mar, Chile. pp.83-92. ⟨hal-01185165⟩

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