Singular Nonsymmetric Macdonald Polynomials and Quasistaircases

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2020
• Автори: Colmenarejo, Laura, Dunkl, Charles F.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2020
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/210600
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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...