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Spherical and Whittaker functions via DAHA I
- Source :
- Selecta Mathematica. 19:737-817
- Publication Year :
- 2012
- Publisher :
- Springer Science and Business Media LLC, 2012.
-
Abstract
- This paper is focused on the spinor (nonsymmetric) Whittaker functions in the rank one, related q-Toda–Dunkl operators, and other aspects of the spinor construction, including one-dimensional Bessel functions and the isomorphism between the affine Knizhnik–Zamolodchikov equation and the Quantum many-body problem (the Heckman–Opdam system).
- Subjects :
- Pure mathematics
Spinor
Rank (linear algebra)
General Mathematics
Mathematics::Classical Analysis and ODEs
General Physics and Astronomy
Algebra
High Energy Physics::Theory
symbols.namesake
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Macdonald polynomials
Mathematics::Quantum Algebra
symbols
Affine transformation
Isomorphism
Mathematics::Representation Theory
Whittaker function
Quantum
Bessel function
Mathematics
Subjects
Details
- ISSN :
- 14209020 and 10221824
- Volume :
- 19
- Database :
- OpenAIRE
- Journal :
- Selecta Mathematica
- Accession number :
- edsair.doi...........8da3c9b781ec74d2552bd2b0d724043b