A nonsymmetric version of Okounkov’s BC-type interpolation Macdonald polynomials
| Authors | |
|---|---|
| Publication date | 12-2021 |
| Journal | Transformation Groups |
| Volume | Issue number | 26 | 4 |
| Pages (from-to) | 1261-1292 |
| Organisations |
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| Abstract | Nonsymmetric interpolation Laurent polynomials in n variables are introduced, with the interpolation points depending on q and on a n-tuple of parameters τ = (τ1, …, τn). When τi = stn − 1, Okounkov’s 3-parameter BCn-type interpolation Macdonald polynomials are recovered from the nonsymmetric interpolation Laurent polynomials through Hecke algebra symmetrisation with respect to a type Cn Hecke algebra action. In the Appendix we give some conjectures about extra vanishing, based on Mathematica computations in rank two. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1007/S00031-021-09672-x |
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A nonsymmetric version of Okounkov’s BC-type interpolation
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