Singular Nonsymmetric Macdonald Polynomials and Quasistaircases

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• ISSN: 1815-0659
• Hauptverfasser: Colmenarejo, Laura, Dunkl, Charles F.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210600
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Singular Nonsymmetric Macdonald Polynomials and Quasistaircases. Laura Colmenarejo and Charles F. Dunkl. SIGMA 16 (2020), 010, 27 pages

Singular nonsymmetric Macdonald polynomials are constructed by use of the representation theory of the Hecke algebras of the symmetric groups. These polynomials are labeled by quasistaircase partitions and are associated with special parameter values (q,t). For N variables, there are singular polyno...