Dunkl Operators and Canonical Invariants of Reflection Groups

• Дата: 2009
• Автори: Berenstein, A., Burman, Y.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2009
• Назва видання: Symmetry, Integrability and Geometry: Methods and Applications
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/149139
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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...