Geodesic
The Mukhin―Varchenko conjecture for type $A$
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008), DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008) (2008).

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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 $\mathfrak{g}$. 
@article{DMTCS_2008_special_255_a38,
     author = {Warnaar, S. Ole},
     title = {The {Mukhin{\textemdash}Varchenko} conjecture for type $A$},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008)},
     year = {2008},
     doi = {10.46298/dmtcs.3630},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3630/}
}
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%J Discrete mathematics & theoretical computer science
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Warnaar, S. Ole. The Mukhin―Varchenko conjecture for type $A$. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008), DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008) (2008). doi : 10.46298/dmtcs.3630. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3630/

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