Dunkl Operators and Canonical Invariants of Reflection Groups

Скорочена інформація про документ
dc.contributor.authorBerenstein, A.
dc.contributor.authorBurman, Y.
dc.date.accessioned2019-02-19T17:37:57Z
dc.date.available2019-02-19T17:37:57Z
dc.date.issued2009
dc.description.abstractUsing 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 groups as certain hypergeometric functions.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Dunkl Operators and Related Topics. The work was partially supported by the CRDF grant RUM1-2895-MO-07. The second author was also supported by the INTAS grant 05-7805, RFBR grants 08-01-00110-a and NSh709.2008.1, and the HSE Scientific Foundation grant 08-01-0019. The authors are grateful to P. Etingof, M. Feigin, A. Samokhin, and Y. Xu for valuable discussions. The second author wishes to thank the University of Oregon, where most of this work was carried out, for its warm hospitality.uk_UA
dc.identifier.citationDunkl 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.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 20F55; 15A72
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149139
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleDunkl Operators and Canonical Invariants of Reflection Groupsuk_UA
dc.typeArticleuk_UA

Файли

Оригінальний контейнер

Зараз показуємо 1 - 1 з 1
Ескіз
Назва:
57-Berenstein.pdf
Розмір:
330.65 KB
Формат:
Adobe Portable Document Format
Опис:
Стаття
Завантажити

Контейнер ліцензії

Зараз показуємо 1 - 1 з 1
Ескіз
Назва:
license.txt
Розмір:
817 B
Формат:
Item-specific license agreed upon to submission
Опис:
Завантажити

Колекція

Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік