| dc.creator | Boyallian, Carina | |
| dc.creator | Liberati, Jose Ignacio | |
| dc.date.accessioned | 2021-04-13T21:10:22Z | |
| dc.date.accessioned | 2022-10-15T15:01:11Z | |
| dc.date.available | 2021-04-13T21:10:22Z | |
| dc.date.available | 2022-10-15T15:01:11Z | |
| dc.date.created | 2021-04-13T21:10:22Z | |
| dc.date.issued | 2001-08 | |
| dc.identifier | Boyallian, Carina; Liberati, Jose Ignacio; Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle; American Institute of Physics; Journal of Mathematical Physics; 42; 8; 8-2001; 3735-3753 | |
| dc.identifier | 0022-2488 | |
| dc.identifier | http://hdl.handle.net/11336/129961 | |
| dc.identifier | 1089-7658 | |
| dc.identifier | CONICET Digital | |
| dc.identifier | CONICET | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4399937 | |
| dc.description.abstract | We give a complete description of the anti-involutions of the algebra DN of N X N-matrix differential operators on the circle, preserving the principal ℤ gradation. We obtain, up to conjugation, two families σ±,m with 1≤m≤N, getting two families DN±,m simple Lie subalgebras fixed by -σ±,m. We also give a geometric realization of σ±.m, concluding that DN+,m is a subalgebra of DN of type o(m,n) and DN-,m is a subalgebra of DN of type o s p(m,n) (ortho-symplectic). Finally, we study the conformal algebras associated with DN+,m and DN-,m © 2001 American Institute of Physics. | |
| dc.language | eng | |
| dc.publisher | American Institute of Physics | |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/10.1063/1.1380252 | |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1063/1.1380252 | |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Lie algebra | |
| dc.title | Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:ar-repo/semantics/artículo | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
