Artículo

Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle

Boyallian, CarinaIcon ; Liberati, Jose IgnacioIcon
Fecha de publicación: 08/2001
Editorial: American Institute of Physics
Revista: Journal of Mathematical Physics
ISSN: 0022-2488
e-ISSN: 1089-7658
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

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.
Palabras clave: Lie algebra
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/129961
URL: https://aip.scitation.org/doi/10.1063/1.1380252
DOI: http://dx.doi.org/10.1063/1.1380252
Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
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
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