REPRESENTATION-THEORETIC INTERPRETATION OF CHEREDNIK-ORR’S RECURSION FORMULA FOR THE SPECIALIZATION OF NONSYMMETRIC MACDONALD POLYNOMIALS AT T

REPRESENTATION-THEORETIC INTERPRETATION OF CHEREDNIK-ORR’S RECURSION FORMULA FOR THE SPECIALIZATION OF NONSYMMETRIC MACDONALD POLYNOMIALS AT T

We give a representation-theoretic (or rather, crystal-theoretic) proof of Cherednik-Orr's recursion formula of Demazure type for the specialization at t = ∞ of the nonsymmetric Macdonald polynomials E w λ ( q ,  t ), w  ∈  W , where λ is a dominant integral weight and W is a finite Weyl group....

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Veröffentlicht in:Transformation groups 2019-03, Vol.24 (1), p.155-191
Hauptverfasser: NAITO, SATOSHI, NOMOTO, FUMIHIKO, SAGAKI, DAISUKE
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Lie Groups
Mathematics
Mathematics and Statistics
Polynomials
Representations
Topological Groups
Weight
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Zusammenfassung:We give a representation-theoretic (or rather, crystal-theoretic) proof of Cherednik-Orr's recursion formula of Demazure type for the specialization at t = ∞ of the nonsymmetric Macdonald polynomials E w λ ( q ,  t ), w  ∈  W , where λ is a dominant integral weight and W is a finite Weyl group.
ISSN:1083-4362
1531-586X
DOI:10.1007/s00031-017-9467-0