Structure of Jackson Integrals of $BC_n$ Type

Structure of Jackson Integrals of $BC_n$ Type

Kazuhiko AOMOTO and Masahiko ITO

Source: Tokyo J. of Math. Volume 31, Number 2 (2008), 449-477.

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.

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