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Kyushu Journal of Mathematics
Vol. 59 (2005) No. 1 P 117-126

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http://doi.org/10.2206/kyushujm.59.117


We evaluate the integral appearing in the solution of the Knizhnik-Zamolodchikov equation associated with the vector representation of the simple Lie algebra g of type Bn, Cn or Dn. 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.

Copyright © 2005 by Faculty of Mathematics, Kyushu University

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