INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS
Abstract We prove that all classical affine W-algebras 𝒲(𝔤; f), where g is a simple Lie algebra and f is its non-zero nilpotent element, admit an integrable hierarchy of bi-Hamiltonian PDEs, except possibly for one nilpotent conjugacy class in G2, one in F4, and five in E8.
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer US
2021
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| Online Access: | https://hdl.handle.net/1721.1/136767 |
| _version_ | 1826203857663819776 |
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| author | SOLE, ALBERTO D KAC, VICTOR G JIBLADZE, MAMUKA VALERI, DANIELE |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics SOLE, ALBERTO D KAC, VICTOR G JIBLADZE, MAMUKA VALERI, DANIELE |
| author_sort | SOLE, ALBERTO D |
| collection | MIT |
| description | Abstract
We prove that all classical affine W-algebras 𝒲(𝔤; f), where g is a simple Lie algebra and f is its non-zero nilpotent element, admit an integrable hierarchy of bi-Hamiltonian PDEs, except possibly for one nilpotent conjugacy class in G2, one in F4, and five in E8. |
| first_indexed | 2024-09-23T12:44:23Z |
| format | Article |
| id | mit-1721.1/136767 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:44:23Z |
| publishDate | 2021 |
| publisher | Springer US |
| record_format | dspace |
| spelling | mit-1721.1/1367672023-09-12T19:51:26Z INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS SOLE, ALBERTO D KAC, VICTOR G JIBLADZE, MAMUKA VALERI, DANIELE Massachusetts Institute of Technology. Department of Mathematics Abstract We prove that all classical affine W-algebras 𝒲(𝔤; f), where g is a simple Lie algebra and f is its non-zero nilpotent element, admit an integrable hierarchy of bi-Hamiltonian PDEs, except possibly for one nilpotent conjugacy class in G2, one in F4, and five in E8. 2021-11-01T14:33:13Z 2021-11-01T14:33:13Z 2021-04-15 2021-04-18T03:51:25Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/136767 PUBLISHER_CC en https://doi.org/10.1007/s00031-021-09645-0 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer US Springer US |
| spellingShingle | SOLE, ALBERTO D KAC, VICTOR G JIBLADZE, MAMUKA VALERI, DANIELE INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS |
| title | INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS |
| title_full | INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS |
| title_fullStr | INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS |
| title_full_unstemmed | INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS |
| title_short | INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS |
| title_sort | integrability of classical affine w algebras |
| url | https://hdl.handle.net/1721.1/136767 |
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