Abstract
The finiteness of non-symmetric and symmetric cohomologies associated with Jackson integrals of type $BC_n$ is studied. The explicit bases of the cohomologies are also given. These bases determine parameter-dependent Jackson integral, and it is shown that they satisfy holonomic systems of linear $q$-difference equations with respect to the parameters.
Citation
Kazuhiko AOMOTO. Masahiko ITO. "Structure of Jackson Integrals of $BC_n$ Type." Tokyo J. Math. 31 (2) 449 - 477, December 2008. https://doi.org/10.3836/tjm/1233844063
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