On decompositions of the systems of roots of Кас-Moody algebras of rank 2
A classifications is presented of the parabolic decompositions of the system of roots of Kac—Moody algebras of rank 2. New series of irreducible representations are constructed.
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| Date: | 1992 |
|---|---|
| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8196 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865794445875609600 |
|---|---|
| author | Tutov , A. A. Futorny , V. M. Тутов , А. А. Футорный , В. М. |
| author_facet | Tutov , A. A. Futorny , V. M. Тутов , А. А. Футорный , В. М. |
| author_institution_txt_mv | [
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"author": "А. А. Тутов ",
"institution": "Киев. ун-т"
},
{
"author": "В. М. Футорный ",
"institution": "Киев. ун-т"
}
] |
| author_sort | Tutov , A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-02-26T13:57:58Z |
| description | A classifications is presented of the parabolic decompositions of the system of roots of Kac—Moody algebras of rank 2. New series of irreducible representations are constructed. |
| first_indexed | 2026-03-24T03:37:20Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8196 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:37:20Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/2a/a136c5b15aff35c27baee3849dd45d2a.pdf |
| spelling | umjimathkievua-article-81962024-02-26T13:57:58Z On decompositions of the systems of roots of Кас-Moody algebras of rank 2 Разбиения систем корней алгебр Каца-Муди ранга 2 Tutov , A. A. Futorny , V. M. Тутов , А. А. Футорный , В. М. A classifications is presented of the parabolic decompositions of the system of roots of Kac—Moody algebras of rank 2. New series of irreducible representations are constructed. Приведена классификация параболических разбиений системы корней алгебр Каца — Муди ранга 2. Построены новые серии неприводимых представлений. Наведена класифікація параболічних поділів системи коренів алгебр Каца — Муді рангу 2. Побудовані нові серії незвідних зображень. Institute of Mathematics, NAS of Ukraine 1992-12-04 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8196 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 12 (1992); 1712-1715 Український математичний журнал; Том 44 № 12 (1992); 1712-1715 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8196/9719 Copyright (c) 1992 A. A. Tutov , V. M. Futorny |
| spellingShingle | Tutov , A. A. Futorny , V. M. Тутов , А. А. Футорный , В. М. On decompositions of the systems of roots of Кас-Moody algebras of rank 2 |
| title | On decompositions of the systems of roots of Кас-Moody algebras of rank 2 |
| title_alt | Разбиения систем корней алгебр Каца-Муди ранга 2 |
| title_full | On decompositions of the systems of roots of Кас-Moody algebras of rank 2 |
| title_fullStr | On decompositions of the systems of roots of Кас-Moody algebras of rank 2 |
| title_full_unstemmed | On decompositions of the systems of roots of Кас-Moody algebras of rank 2 |
| title_short | On decompositions of the systems of roots of Кас-Moody algebras of rank 2 |
| title_sort | on decompositions of the systems of roots of кас-moody algebras of rank 2 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8196 |
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