A GENERALIZATION OF THE BETA INTEGRAL ARISING FROM THE KNIZHNIK-ZAMOLODCHIKOV EQUATION FOR THE VECTOR REPRESENTATIONS OF TYPES $ B_n $, $ C_n $, AND $ D_n $
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概要
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We evaluate the integral appearing in the solution of the KnizhnikZamolodchikov equation associated with the vector representation of the simple Lie algebra $ \mathfrak{g} $ of type $ B_n, C_n $ or $ D_n $. This integral, which can be considered as a generalization of the Beta integral, is expressed in terms of an alternating product of the Gamma function.
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