✦ LIBER ✦
A Simple Proof of an Aomoto-Type Extension of Askey's Last Conjectured Selberg q-Integral
✍ Scribed by Kevin W.J. Kadell
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 162 KB
- Volume
- 261
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
We establish an Aomoto-type extension of Askey's last conjectured Selberg q-integral, which was recently proved by Evans. We follow the lines of our proofs of Aomoto-type extensions of the Morris constant term q-identity and Gustafson's Askey-Wilson Selberg q-integral. We require integral forms of the q-transportation theory and its alternative for the root system A n-1 , which are related to the simple reflections and minuscule weight of A n-1 . We use an elementary symmetry which is related to the minuscule weight of A n-1 to lift a proof of the one dimensional q-integral to the multivariable setting.