A new <Emphasis Type="Italic">q</Emphasis>-Selberg integral,Schur functions,and Young books |
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| Authors: | Jang Soo Kim Soichi Okada |
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| Institution: | 1.Department of Mathematics,Sungkyunkwan University,Suwon,South Korea;2.Graduate School of Mathematics,Nagoya University,Nagoya,Japan |
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| Abstract: | Recently, Kim and Oh expressed the Selberg integral in terms of the number of Young books which are a generalization of standard Young tableaux of shifted staircase shape. In this paper the generating function for Young books according to major index statistic is considered. It is shown that this generating function can be written as a Jackson integral which gives a new q-Selberg integral. It is also shown that the new q-Selberg integral has an expression in terms of Schur functions. |
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