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arXiv · 1703.09401

Irreducibility of the monodromy representation of Lauricella's $F_C$

Yoshiaki Goto·Keiji Matsumoto
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Abstract

Let $E_C$ be the hypergeometric system of differential equations satisfied by Lauricella's hypergeometric series $F_C$ of $m$ variables. We show that the monodromy representation of $E_C$ is irreducible under our assumption consisting of $2^{m+1}$ conditions for parameters. We also show that the monodromy representation is reducible if one of them is not satisfied.

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Yoshiaki Goto, Keiji Matsumoto. 2017-03-28. Irreducibility of the monodromy representation of Lauricella's $F_C$. https://arxiv.org/abs/1703.09401

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