# 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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https://hal.inria.fr/hal-01185165
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dmAJ0108.pdf
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### Citation

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, ⟨10.46298/dmtcs.3630⟩. ⟨hal-01185165⟩

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