Dunkl Operators and Canonical Invariants of Reflection Groups

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Berenstein, A., Burman, Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149139
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Dunkl Operators and Canonical Invariants of Reflection Groups / A. Berenstein, Y. Burman // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 20 назв. — англ.

Using Dunkl operators, we introduce a continuous family of canonical invariants of finite reflection groups. We verify that the elementary canonical invariants of the symmetric group are deformations of the elementary symmetric polynomials. We also compute the canonical invariants for all dihedral g...