The Smallest Singular Values and Vector-Valued Jack Polynomials
There is a space of vector-valued nonsymmetric Jack polynomials associated with any irreducible representation of a symmetric group. Singular polynomials for the smallest singular values are constructed in terms of the Jack polynomials. The smallest singular values bound the region of positivity of...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2018
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/209842 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Smallest Singular Values and Vector-Valued Jack Polynomials / C.F. Dunkl // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 16 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-209842 |
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dspace |
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Dunkl, C.F. 2025-11-27T14:48:50Z 2018 The Smallest Singular Values and Vector-Valued Jack Polynomials / C.F. Dunkl // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 16 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33C52; 20F55; 05E35; 05E10 arXiv: 1804.09158 https://nasplib.isofts.kiev.ua/handle/123456789/209842 https://doi.org/10.3842/SIGMA.2018.115 There is a space of vector-valued nonsymmetric Jack polynomials associated with any irreducible representation of a symmetric group. Singular polynomials for the smallest singular values are constructed in terms of the Jack polynomials. The smallest singular values bound the region of positivity of the bilinear symmetric form for which the Jack polynomials are mutually orthogonal. As background, there are some results about general finite reflection groups and singular values in the context of standard modules of the rational Cherednik algebra. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Smallest Singular Values and Vector-Valued Jack Polynomials Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The Smallest Singular Values and Vector-Valued Jack Polynomials |
| spellingShingle |
The Smallest Singular Values and Vector-Valued Jack Polynomials Dunkl, C.F. |
| title_short |
The Smallest Singular Values and Vector-Valued Jack Polynomials |
| title_full |
The Smallest Singular Values and Vector-Valued Jack Polynomials |
| title_fullStr |
The Smallest Singular Values and Vector-Valued Jack Polynomials |
| title_full_unstemmed |
The Smallest Singular Values and Vector-Valued Jack Polynomials |
| title_sort |
smallest singular values and vector-valued jack polynomials |
| author |
Dunkl, C.F. |
| author_facet |
Dunkl, C.F. |
| publishDate |
2018 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
There is a space of vector-valued nonsymmetric Jack polynomials associated with any irreducible representation of a symmetric group. Singular polynomials for the smallest singular values are constructed in terms of the Jack polynomials. The smallest singular values bound the region of positivity of the bilinear symmetric form for which the Jack polynomials are mutually orthogonal. As background, there are some results about general finite reflection groups and singular values in the context of standard modules of the rational Cherednik algebra.
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/209842 |
| citation_txt |
The Smallest Singular Values and Vector-Valued Jack Polynomials / C.F. Dunkl // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 16 назв. — англ. |
| work_keys_str_mv |
AT dunklcf thesmallestsingularvaluesandvectorvaluedjackpolynomials AT dunklcf smallestsingularvaluesandvectorvaluedjackpolynomials |
| first_indexed |
2025-12-06T17:14:08Z |
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2025-12-06T17:14:08Z |
| _version_ |
1850885999805071360 |