A new construction of the Drinfeld–Sokolov hierarchies
The Drinfeld–Sokolov hierarchies are integrable hierarchies associated with every affine Lie algebra. We present a new construction of such hierarchies, which only requires the computations of a formal Laurent series.
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818122000250 |
| _version_ | 1818236334157856768 |
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| author | Paolo Casati |
| author_facet | Paolo Casati |
| author_sort | Paolo Casati |
| collection | DOAJ |
| description | The Drinfeld–Sokolov hierarchies are integrable hierarchies associated with every affine Lie algebra. We present a new construction of such hierarchies, which only requires the computations of a formal Laurent series. |
| first_indexed | 2024-12-12T12:08:13Z |
| format | Article |
| id | doaj.art-389b8b894ef94eba9fe10d5b19b77962 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-12-12T12:08:13Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-389b8b894ef94eba9fe10d5b19b779622022-12-22T00:24:57ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812022-06-015100306A new construction of the Drinfeld–Sokolov hierarchiesPaolo Casati0Dipartimento di Matematica e applicazioni, Università di Milano-Bicocca, Via Cozzi 55, I-20125 Milano, ItalyThe Drinfeld–Sokolov hierarchies are integrable hierarchies associated with every affine Lie algebra. We present a new construction of such hierarchies, which only requires the computations of a formal Laurent series.http://www.sciencedirect.com/science/article/pii/S2666818122000250Integrable hierarchies of PDELie algebrasIrreducible representationsDrinfeld–Sokolov construction |
| spellingShingle | Paolo Casati A new construction of the Drinfeld–Sokolov hierarchies Partial Differential Equations in Applied Mathematics Integrable hierarchies of PDE Lie algebras Irreducible representations Drinfeld–Sokolov construction |
| title | A new construction of the Drinfeld–Sokolov hierarchies |
| title_full | A new construction of the Drinfeld–Sokolov hierarchies |
| title_fullStr | A new construction of the Drinfeld–Sokolov hierarchies |
| title_full_unstemmed | A new construction of the Drinfeld–Sokolov hierarchies |
| title_short | A new construction of the Drinfeld–Sokolov hierarchies |
| title_sort | new construction of the drinfeld sokolov hierarchies |
| topic | Integrable hierarchies of PDE Lie algebras Irreducible representations Drinfeld–Sokolov construction |
| url | http://www.sciencedirect.com/science/article/pii/S2666818122000250 |
| work_keys_str_mv | AT paolocasati anewconstructionofthedrinfeldsokolovhierarchies AT paolocasati newconstructionofthedrinfeldsokolovhierarchies |