Intertwining operators for Horn systems Sample Clauses

Intertwining operators for Horn systems. The purpose of this subsec- tion is to compute the intertwining operators for the monodromy representations of Horn systems whose parameters differ by integers. This will enable us to conclude that certain monodromy representations are equivalent. The intertwining oper- ators for the monodromy representations of ordinary hypergeometric differential equations were computed in [3]. Recall that S(Xxxx(A, c)) stands for the vector space of (local) solutions of the hypergeometric system Horn(A, c). The class of hypergeometric functions is closed under multiplication by Puiseux monomials. More precisely, the operator xλ• which multiplies a function by the monomial xλ = xλ1 · · · xλn is an isomorphism between
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