Dirac operators and the very strange formula for Lie superalgebras
Using a super-affine version of Kostant’s cubic Dirac operator, we prove a very strange formula for quadratic finite-dimensional Lie superalgebras with a reductive even subalgebra.
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
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Springer International Publishing AG.
2018
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| Online Access: | http://hdl.handle.net/1721.1/115955 https://orcid.org/0000-0002-2860-7811 |
| _version_ | 1811073014779871232 |
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| author | Frajria, Pierluigi Möseneder Papi, Paolo Kac, Victor |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Frajria, Pierluigi Möseneder Papi, Paolo Kac, Victor |
| author_sort | Frajria, Pierluigi Möseneder |
| collection | MIT |
| description | Using a super-affine version of Kostant’s cubic Dirac operator, we prove a very strange formula for quadratic finite-dimensional Lie superalgebras with a reductive even subalgebra. |
| first_indexed | 2024-09-23T09:27:18Z |
| format | Article |
| id | mit-1721.1/115955 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T09:27:18Z |
| publishDate | 2018 |
| publisher | Springer International Publishing AG. |
| record_format | dspace |
| spelling | mit-1721.1/1159552022-09-30T14:31:26Z Dirac operators and the very strange formula for Lie superalgebras Frajria, Pierluigi Möseneder Papi, Paolo Kac, Victor Massachusetts Institute of Technology. Department of Mathematics Kac, Victor Using a super-affine version of Kostant’s cubic Dirac operator, we prove a very strange formula for quadratic finite-dimensional Lie superalgebras with a reductive even subalgebra. 2018-05-30T13:20:34Z 2018-05-30T13:20:34Z 2014 2018-05-23T18:24:49Z Article http://purl.org/eprint/type/JournalArticle 978-3-319-02951-1 978-3-319-02952-8 2281-518X 2281-5198 http://hdl.handle.net/1721.1/115955 Kac, Victor G., et al. “Dirac Operators and the Very Strange Formula for Lie Superalgebras.” Advances in Lie Superalgebras, edited by Maria Gorelik and Paolo Papi, vol. 7, Springer International Publishing, 2014, pp. 121–47. https://orcid.org/0000-0002-2860-7811 http://dx.doi.org/10.1007/978-3-319-02952-8_8 Advances in Lie Superalgebras Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer International Publishing AG. arXiv |
| spellingShingle | Frajria, Pierluigi Möseneder Papi, Paolo Kac, Victor Dirac operators and the very strange formula for Lie superalgebras |
| title | Dirac operators and the very strange formula for Lie superalgebras |
| title_full | Dirac operators and the very strange formula for Lie superalgebras |
| title_fullStr | Dirac operators and the very strange formula for Lie superalgebras |
| title_full_unstemmed | Dirac operators and the very strange formula for Lie superalgebras |
| title_short | Dirac operators and the very strange formula for Lie superalgebras |
| title_sort | dirac operators and the very strange formula for lie superalgebras |
| url | http://hdl.handle.net/1721.1/115955 https://orcid.org/0000-0002-2860-7811 |
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