Kravchuk’s polynomials and group
Kravchuk polynomials of a discrete variable and different types of Kravchuk $q$-polynomials are determined. The importance of these polynomials for the theory of representations of Lie and Chevalley groups and the theory of symmetric and quantum groups is shown. The article presents a survey of the...
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| Date: | 1992 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8121 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512924690284544 |
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| author | Klimik , A. U. Клімик , А. У. |
| author_facet | Klimik , A. U. Клімик , А. У. |
| author_sort | Klimik , A. U. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-01-31T10:37:42Z |
| description | Kravchuk polynomials of a discrete variable and different types of Kravchuk $q$-polynomials are determined. The importance of these polynomials for the theory of representations of Lie and Chevalley groups and the theory of symmetric and quantum groups is shown. The article presents a survey of the contemporary results in these areas. |
| first_indexed | 2026-03-24T03:36:31Z |
| format | Article |
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| id | umjimathkievua-article-8121 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian |
| last_indexed | 2026-03-24T03:36:31Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ca/9ee7bcf88953019c57db2f8b671544ca.pdf |
| spelling | umjimathkievua-article-81212024-01-31T10:37:42Z Kravchuk’s polynomials and group Многочлени Кравчука і зображення груп Klimik , A. U. Клімик , А. У. - Kravchuk polynomials of a discrete variable and different types of Kravchuk $q$-polynomials are determined. The importance of these polynomials for the theory of representations of Lie and Chevalley groups and the theory of symmetric and quantum groups is shown. The article presents a survey of the contemporary results in these areas. Определены многочлены Кравчука дискретного переменного и различные типы $q$-многочленов Кравчука. Показано значение этих многочленов в теории представлений групп Ли и Шевалье, симметрической и квантовой групп. Статья представляет собой обзор современных результатов в этом направлении. Визначені многочлени Кравчука дискретної змінної та різноманітні типи $q$-многочленів Кравчука. Показано значення цих многочленів в теорії зображень груп Лі і Шевалле, симетричної і квантових груп. Стаття є оглядом сучасних результатів цих напрямків. Institute of Mathematics, NAS of Ukraine 1992-08-03 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8121 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 7 (1992); 888-901 Український математичний журнал; Том 44 № 7 (1992); 888-901 1027-3190 uk https://umj.imath.kiev.ua/index.php/umj/article/view/8121/9648 Copyright (c) 1992 A. U. Klimik |
| spellingShingle | Klimik , A. U. Клімик , А. У. Kravchuk’s polynomials and group |
| title | Kravchuk’s polynomials and group |
| title_alt | Многочлени Кравчука і зображення груп |
| title_full | Kravchuk’s polynomials and group |
| title_fullStr | Kravchuk’s polynomials and group |
| title_full_unstemmed | Kravchuk’s polynomials and group |
| title_short | Kravchuk’s polynomials and group |
| title_sort | kravchuk’s polynomials and group |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8121 |
| work_keys_str_mv | AT klimikau kravchukspolynomialsandgroup AT klímikau kravchukspolynomialsandgroup AT klimikau mnogočlenikravčukaízobražennâgrup AT klímikau mnogočlenikravčukaízobražennâgrup |