The Harish-Chandra theorem for the quantum algebra $u_q (\text{sl} (3))$
A basis of a quantum universal enveloping algebra $U$ is constructed; the following theorem is proved with the help of this basis: For any nonzero element $Μ ∃ U$, there exists a finite-dimensional representation $π$ such that $π(u) ≠ 0$.
Збережено в:
| Дата: | 1993 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1993
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5827 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512048277880832 |
|---|---|
| author | Guzner, B. Z. Гузнер, Б. 3. Гузнер, Б. 3. |
| author_facet | Guzner, B. Z. Гузнер, Б. 3. Гузнер, Б. 3. |
| author_sort | Guzner, B. Z. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:18:35Z |
| description | A basis of a quantum universal enveloping algebra $U$ is constructed; the following theorem is proved with the help of this basis: For any nonzero element $Μ ∃ U$, there exists a finite-dimensional representation $π$ such that $π(u) ≠ 0$. |
| first_indexed | 2026-03-24T03:22:35Z |
| format | Article |
| fulltext |
0130
0131
0132
0133
|
| id | umjimathkievua-article-5827 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:35Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/60/4e304f0f250be1b136e6a74e557b7260.pdf |
| spelling | umjimathkievua-article-58272020-03-19T09:18:35Z The Harish-Chandra theorem for the quantum algebra $u_q (\text{sl} (3))$ Теорема Хариш-Чандры для квантовой алгебры Guzner, B. Z. Гузнер, Б. 3. Гузнер, Б. 3. A basis of a quantum universal enveloping algebra $U$ is constructed; the following theorem is proved with the help of this basis: For any nonzero element $Μ ∃ U$, there exists a finite-dimensional representation $π$ such that $π(u) ≠ 0$. Побудовано базис квантової універсальної обгортуючої алгебри $U$, за допомогою якого доведена теорема: для будь-якого ненульового елемента $Μ ∃ U$ існує скінченновимірне зображення $π$ таке, що $π(u) ≠ 0$. Institute of Mathematics, NAS of Ukraine 1993-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5827 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 3 (1993); 436–439 Український математичний журнал; Том 45 № 3 (1993); 436–439 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5827/8337 https://umj.imath.kiev.ua/index.php/umj/article/view/5827/8338 Copyright (c) 1993 Guzner B. Z. |
| spellingShingle | Guzner, B. Z. Гузнер, Б. 3. Гузнер, Б. 3. The Harish-Chandra theorem for the quantum algebra $u_q (\text{sl} (3))$ |
| title | The Harish-Chandra theorem for the quantum algebra $u_q (\text{sl} (3))$ |
| title_alt | Теорема Хариш-Чандры для квантовой алгебры |
| title_full | The Harish-Chandra theorem for the quantum algebra $u_q (\text{sl} (3))$ |
| title_fullStr | The Harish-Chandra theorem for the quantum algebra $u_q (\text{sl} (3))$ |
| title_full_unstemmed | The Harish-Chandra theorem for the quantum algebra $u_q (\text{sl} (3))$ |
| title_short | The Harish-Chandra theorem for the quantum algebra $u_q (\text{sl} (3))$ |
| title_sort | harish-chandra theorem for the quantum algebra $u_q (\text{sl} (3))$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5827 |
| work_keys_str_mv | AT guznerbz theharishchandratheoremforthequantumalgebrauqtextsl3 AT guznerb3 theharishchandratheoremforthequantumalgebrauqtextsl3 AT guznerb3 theharishchandratheoremforthequantumalgebrauqtextsl3 AT guznerbz teoremahariščandrydlâkvantovojalgebry AT guznerb3 teoremahariščandrydlâkvantovojalgebry AT guznerb3 teoremahariščandrydlâkvantovojalgebry AT guznerbz harishchandratheoremforthequantumalgebrauqtextsl3 AT guznerb3 harishchandratheoremforthequantumalgebrauqtextsl3 AT guznerb3 harishchandratheoremforthequantumalgebrauqtextsl3 |