Singular nonsymmetric Jack polynomials for some trapeziform tableaux

DOI10.1142/S0129167X21500919OpenAlexW3200932066MaRDI QIDQ5021437

Juanjuan Sun, Shiru Wu

Publication date: 13 January 2022

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x21500919

zbMATH Keywords

symmetric groupDunkl operatornonsymmetric Jack polynomial

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Orthogonal polynomials and functions associated with root systems (33C52)

Cites Work

• Unnamed Item
• Vector-valued Jack polynomials from scratch
• Symmetric and antisymmetric vector-valued Jack polynomials
• On the category \(\mathcal O\) for rational Cherednik algebras.
• The smallest singular values and vector-valued Jack polynomials
• Orthogonal functions generalizing Jack polynomials
• Towards a combinatorial representation theory for the rational Cherednik algebra of type G(r, p, n)
• Differential-Difference Operators Associated to Reflection Groups
• DUNKL OPERATORS FOR COMPLEX REFLECTION GROUPS
• Singular polynomials from orbit spaces