INVESTIGADORES
LIBERATI Jose Ignacio
artículos
Título:
Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle
Autor/es:
BOYALLIAN, CARINA; LIBERATI, JOSE I.
Revista:
JOURNAL OF MATHEMATICAL PHYSICS
Editorial:
AMER INST PHYSICS
Referencias:
Año: 2001 vol. 42 p. 3735 - 3753
ISSN:
0022-2488
Resumen:
We give a complete description of the anti-involutions of the algebra DN of N~N-matrix differential operators on the circle, preserving the principal gradation. We obtain, up to conjugation, two families Ð},m with 1 ⩽ m ⩽ N, getting two families D},mN of simple Lie subalgebras fixed by −Ð},m. We also give a geometric realization of Ð},m, concluding that D+,mN is a subalgebra of DN of type o(m,n) and D−,mN is a subalgebra of DN of type osp(m,n) (ortho-symplectic). Finally, we study the conformal algebras associated with D+,mN and D−,mN.
