Invariant Hermitian forms on vertex algebras
<jats:p> We study invariant Hermitian forms on a conformal vertex algebra and on their (twisted) modules. We establish existence of a non-zero invariant Hermitian form on an arbitrary [Formula: see text]-algebra. We show that for a minimal simple [Formula: see text]-algebra [Formula: see text]...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
World Scientific Pub Co Pte Ltd
2022
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| Online Access: | https://hdl.handle.net/1721.1/145719 |
| _version_ | 1826194737451761664 |
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| author | Kac, Victor G Frajria, Pierluigi Möseneder Papi, Paolo |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Kac, Victor G Frajria, Pierluigi Möseneder Papi, Paolo |
| author_sort | Kac, Victor G |
| collection | MIT |
| description | <jats:p> We study invariant Hermitian forms on a conformal vertex algebra and on their (twisted) modules. We establish existence of a non-zero invariant Hermitian form on an arbitrary [Formula: see text]-algebra. We show that for a minimal simple [Formula: see text]-algebra [Formula: see text] this form can be unitary only when its [Formula: see text]-grading is compatible with parity, unless [Formula: see text] “collapses” to its affine subalgebra. </jats:p> |
| first_indexed | 2024-09-23T10:01:01Z |
| format | Article |
| id | mit-1721.1/145719 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:01:01Z |
| publishDate | 2022 |
| publisher | World Scientific Pub Co Pte Ltd |
| record_format | dspace |
| spelling | mit-1721.1/1457192022-10-07T03:37:23Z Invariant Hermitian forms on vertex algebras Kac, Victor G Frajria, Pierluigi Möseneder Papi, Paolo Massachusetts Institute of Technology. Department of Mathematics <jats:p> We study invariant Hermitian forms on a conformal vertex algebra and on their (twisted) modules. We establish existence of a non-zero invariant Hermitian form on an arbitrary [Formula: see text]-algebra. We show that for a minimal simple [Formula: see text]-algebra [Formula: see text] this form can be unitary only when its [Formula: see text]-grading is compatible with parity, unless [Formula: see text] “collapses” to its affine subalgebra. </jats:p> 2022-10-06T17:03:27Z 2022-10-06T17:03:27Z 2022 2022-10-06T16:59:32Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/145719 Kac, Victor G, Frajria, Pierluigi Möseneder and Papi, Paolo. 2022. "Invariant Hermitian forms on vertex algebras." Communications in Contemporary Mathematics, 24 (05). en 10.1142/S0219199721500590 Communications in Contemporary Mathematics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf World Scientific Pub Co Pte Ltd arXiv |
| spellingShingle | Kac, Victor G Frajria, Pierluigi Möseneder Papi, Paolo Invariant Hermitian forms on vertex algebras |
| title | Invariant Hermitian forms on vertex algebras |
| title_full | Invariant Hermitian forms on vertex algebras |
| title_fullStr | Invariant Hermitian forms on vertex algebras |
| title_full_unstemmed | Invariant Hermitian forms on vertex algebras |
| title_short | Invariant Hermitian forms on vertex algebras |
| title_sort | invariant hermitian forms on vertex algebras |
| url | https://hdl.handle.net/1721.1/145719 |
| work_keys_str_mv | AT kacvictorg invarianthermitianformsonvertexalgebras AT frajriapierluigimoseneder invarianthermitianformsonvertexalgebras AT papipaolo invarianthermitianformsonvertexalgebras |