Classification of Finite Irreducible Modules over the Lie Conformal Superalgebra CK[subscript 6]
We classify all continuous degenerate irreducible modules over the exceptional linearly compact Lie superalgebra E(1, 6), and all finite degenerate irreducible modules over the exceptional Lie conformal superalgebra CK[subscript 6], for which E(1, 6) is the annihilation superalgebra.
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Springer-Verlag
2015
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| Online Access: | http://hdl.handle.net/1721.1/92903 https://orcid.org/0000-0002-2860-7811 |
| _version_ | 1826205735592132608 |
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| author | Boyallian, Carina Liberati, José I. Kac, Victor |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Boyallian, Carina Liberati, José I. Kac, Victor |
| author_sort | Boyallian, Carina |
| collection | MIT |
| description | We classify all continuous degenerate irreducible modules over the exceptional linearly compact Lie superalgebra E(1, 6), and all finite degenerate irreducible modules over the exceptional Lie conformal superalgebra CK[subscript 6], for which E(1, 6) is the annihilation superalgebra. |
| first_indexed | 2024-09-23T13:17:46Z |
| format | Article |
| id | mit-1721.1/92903 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:17:46Z |
| publishDate | 2015 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/929032022-10-01T14:19:59Z Classification of Finite Irreducible Modules over the Lie Conformal Superalgebra CK[subscript 6] Boyallian, Carina Liberati, José I. Kac, Victor Massachusetts Institute of Technology. Department of Mathematics Kac, Victor We classify all continuous degenerate irreducible modules over the exceptional linearly compact Lie superalgebra E(1, 6), and all finite degenerate irreducible modules over the exceptional Lie conformal superalgebra CK[subscript 6], for which E(1, 6) is the annihilation superalgebra. 2015-01-15T19:30:25Z 2015-01-15T19:30:25Z 2012-11 2011-10 Article http://purl.org/eprint/type/JournalArticle 0010-3616 1432-0916 http://hdl.handle.net/1721.1/92903 Boyallian, Carina, Victor G. Kac, and José I. Liberati. “Classification of Finite Irreducible Modules over the Lie Conformal Superalgebra CK[subscript 6].” Commun. Math. Phys. 317, no. 2 (November 15, 2012): 503–546. https://orcid.org/0000-0002-2860-7811 en_US http://dx.doi.org/10.1007/s00220-012-1623-8 Communications in Mathematical Physics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer-Verlag arXiv |
| spellingShingle | Boyallian, Carina Liberati, José I. Kac, Victor Classification of Finite Irreducible Modules over the Lie Conformal Superalgebra CK[subscript 6] |
| title | Classification of Finite Irreducible Modules over the Lie Conformal Superalgebra CK[subscript 6] |
| title_full | Classification of Finite Irreducible Modules over the Lie Conformal Superalgebra CK[subscript 6] |
| title_fullStr | Classification of Finite Irreducible Modules over the Lie Conformal Superalgebra CK[subscript 6] |
| title_full_unstemmed | Classification of Finite Irreducible Modules over the Lie Conformal Superalgebra CK[subscript 6] |
| title_short | Classification of Finite Irreducible Modules over the Lie Conformal Superalgebra CK[subscript 6] |
| title_sort | classification of finite irreducible modules over the lie conformal superalgebra ck subscript 6 |
| url | http://hdl.handle.net/1721.1/92903 https://orcid.org/0000-0002-2860-7811 |
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