Free field realizations of certain modules for affine Lie algebra \(\widehat{sl}(n,\mathbb{C})\)
For the affine Lie algebra \(\widehat{sl} (n,{\mathbb{C}})\) we study a realization in terms of infinite sums of partial differential operators of a family of representations introduced in [BBFK]. These representations generalize a construction of Imaginary Verma modules [F1]. The realization const...
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/672 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543263766347776 |
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| author | Martins, Renato A. |
| author_facet | Martins, Renato A. |
| author_sort | Martins, Renato A. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T09:28:39Z |
| description | For the affine Lie algebra \(\widehat{sl} (n,{\mathbb{C}})\) we study a realization in terms of infinite sums of partial differential operators of a family of representations introduced in [BBFK]. These representations generalize a construction of Imaginary Verma modules [F1]. The realization constructed in the paper extends the free field realization of Imaginary Verma modules constructed by B.Cox [С1]. |
| first_indexed | 2025-12-02T15:32:00Z |
| format | Article |
| id | admjournalluguniveduua-article-672 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:32:00Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-6722018-04-04T09:28:39Z Free field realizations of certain modules for affine Lie algebra \(\widehat{sl}(n,\mathbb{C})\) Martins, Renato A. 17B67, 81R10 For the affine Lie algebra \(\widehat{sl} (n,{\mathbb{C}})\) we study a realization in terms of infinite sums of partial differential operators of a family of representations introduced in [BBFK]. These representations generalize a construction of Imaginary Verma modules [F1]. The realization constructed in the paper extends the free field realization of Imaginary Verma modules constructed by B.Cox [С1]. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/672 Algebra and Discrete Mathematics; Vol 12, No 1 (2011) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/672/206 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | 17B67 81R10 Martins, Renato A. Free field realizations of certain modules for affine Lie algebra \(\widehat{sl}(n,\mathbb{C})\) |
| title | Free field realizations of certain modules for affine Lie algebra \(\widehat{sl}(n,\mathbb{C})\) |
| title_full | Free field realizations of certain modules for affine Lie algebra \(\widehat{sl}(n,\mathbb{C})\) |
| title_fullStr | Free field realizations of certain modules for affine Lie algebra \(\widehat{sl}(n,\mathbb{C})\) |
| title_full_unstemmed | Free field realizations of certain modules for affine Lie algebra \(\widehat{sl}(n,\mathbb{C})\) |
| title_short | Free field realizations of certain modules for affine Lie algebra \(\widehat{sl}(n,\mathbb{C})\) |
| title_sort | free field realizations of certain modules for affine lie algebra \(\widehat{sl}(n,\mathbb{c})\) |
| topic | 17B67 81R10 |
| topic_facet | 17B67 81R10 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/672 |
| work_keys_str_mv | AT martinsrenatoa freefieldrealizationsofcertainmodulesforaffineliealgebrawidehatslnmathbbc |