Representations of the real forms of calibrated analogue of the Lie algebra
Real-valued forms of the ${\mathbb Z}_2^n$ -graded analogue of the Lie algebra $sl(2, {\mathbb C})$ are described and their irreducible representations are studied.
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| Date: | 1992 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian |
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Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8254 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513009579851776 |
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| author | Ostrovsky, V.L. Silvestrov, S.D. Островский, В.Л. Сильвестров, С.Д. |
| author_facet | Ostrovsky, V.L. Silvestrov, S.D. Островский, В.Л. Сильвестров, С.Д. |
| author_sort | Ostrovsky, V.L. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-03-27T09:55:08Z |
| description | Real-valued forms of the ${\mathbb Z}_2^n$ -graded analogue of the Lie algebra $sl(2, {\mathbb C})$ are described and their irreducible representations are studied. |
| first_indexed | 2026-03-24T03:37:52Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8254 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:37:52Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/38/e518d2e5c606d935998ff7019f3eb938.pdf |
| spelling | umjimathkievua-article-82542024-03-27T09:55:08Z Representations of the real forms of calibrated analogue of the Lie algebra Представления вещественных форм градуированного аналога алгебры Ли Ostrovsky, V.L. Silvestrov, S.D. Островский, В.Л. Сильвестров, С.Д. Real-valued forms of the ${\mathbb Z}_2^n$ -graded analogue of the Lie algebra $sl(2, {\mathbb C})$ are described and their irreducible representations are studied. Описаны вещественные формы ${\mathbb Z}_2^n$-градуированного аналога алгебры Ли $sl(2, {\mathbb C})$ и изучены их неприводимые представления. Описані дійсні форми ${\mathbb Z}_2^n$-градуйованого аналога алгебри Лі $sl(2, {\mathbb C})$ та вивчені їх незвідні представлення. Institute of Mathematics, NAS of Ukraine 1992-11-06 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8254 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 11 (1992); 1518-1524 Український математичний журнал; Том 44 № 11 (1992); 1518-1524 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8254/9834 Copyright (c) 1992 V.L. Ostrovsky, S.D. Silvestrov |
| spellingShingle | Ostrovsky, V.L. Silvestrov, S.D. Островский, В.Л. Сильвестров, С.Д. Representations of the real forms of calibrated analogue of the Lie algebra |
| title | Representations of the real forms of calibrated analogue of the Lie algebra |
| title_alt | Представления вещественных форм градуированного аналога алгебры Ли |
| title_full | Representations of the real forms of calibrated analogue of the Lie algebra |
| title_fullStr | Representations of the real forms of calibrated analogue of the Lie algebra |
| title_full_unstemmed | Representations of the real forms of calibrated analogue of the Lie algebra |
| title_short | Representations of the real forms of calibrated analogue of the Lie algebra |
| title_sort | representations of the real forms of calibrated analogue of the lie algebra |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8254 |
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