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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| Date: | 2018 |
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Lugansk National Taras Shevchenko University
2018
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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 |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-04-04T09:28:39Z |
| collection |
OJS |
| language |
English |
| topic |
17B67 81R10 |
| spellingShingle |
17B67 81R10 Martins, Renato A. Free field realizations of certain modules for affine Lie algebra \(\widehat{sl}(n,\mathbb{C})\) |
| topic_facet |
17B67 81R10 |
| format |
Article |
| author |
Martins, Renato A. |
| author_facet |
Martins, Renato A. |
| author_sort |
Martins, Renato A. |
| title |
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_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_sort |
free field realizations of certain modules for affine lie algebra \(\widehat{sl}(n,\mathbb{c})\) |
| 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]. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/672 |
| work_keys_str_mv |
AT martinsrenatoa freefieldrealizationsofcertainmodulesforaffineliealgebrawidehatslnmathbbc |
| first_indexed |
2025-12-02T15:32:00Z |
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2025-12-02T15:32:00Z |
| _version_ |
1850412084780597249 |