Free field realizations of certain modules for affine Lie algebra slˆ(n,C)
For the affine Lie algebra slˆ(n,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 exten...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2011 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154768 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Free field realizations of certain modules for affine Lie algebra slˆ(n,C) / R.A. Martins // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 1. — С. 28–52. — Бібліогр.: 15 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862593189797429248 |
|---|---|
| author | Martins, R.A. |
| author_facet | Martins, R.A. |
| citation_txt | Free field realizations of certain modules for affine Lie algebra slˆ(n,C) / R.A. Martins // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 1. — С. 28–52. — Бібліогр.: 15 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | For the affine Lie algebra slˆ(n,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].
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| first_indexed | 2025-11-27T09:34:31Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154768 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-27T09:34:31Z |
| publishDate | 2011 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Martins, R.A. 2019-06-15T20:42:05Z 2019-06-15T20:42:05Z 2011 Free field realizations of certain modules for affine Lie algebra slˆ(n,C) / R.A. Martins // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 1. — С. 28–52. — Бібліогр.: 15 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:17B67, 81R10 https://nasplib.isofts.kiev.ua/handle/123456789/154768 For the affine Lie algebra slˆ(n,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]. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Free field realizations of certain modules for affine Lie algebra slˆ(n,C) Article published earlier |
| spellingShingle | Free field realizations of certain modules for affine Lie algebra slˆ(n,C) Martins, R.A. |
| title | Free field realizations of certain modules for affine Lie algebra slˆ(n,C) |
| title_full | Free field realizations of certain modules for affine Lie algebra slˆ(n,C) |
| title_fullStr | Free field realizations of certain modules for affine Lie algebra slˆ(n,C) |
| title_full_unstemmed | Free field realizations of certain modules for affine Lie algebra slˆ(n,C) |
| title_short | Free field realizations of certain modules for affine Lie algebra slˆ(n,C) |
| title_sort | free field realizations of certain modules for affine lie algebra slˆ(n,c) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154768 |
| work_keys_str_mv | AT martinsra freefieldrealizationsofcertainmodulesforaffineliealgebraslˆnc |