INVESTIGADORES
LIBERATI Jose Ignacio
artículos
Título:
Representations of classical Lie subalgebras of quantum pseudodifferential operators
Autor/es:
BOYALLIAN, CARINA; LIBERATI, JOSE I.
Revista:
JOURNAL OF MATHEMATICAL PHYSICS
Editorial:
AMER INST PHYSICS
Referencias:
Año: 2005 vol. 46 p. 17 - 33516
ISSN:
0022-2488
Resumen:
We show that there is a family of anti-involutions ( and ∊), up to conjugation, of the Lie algebra of quantum pseudodifferential operators preserving the principal gradation. We classify the irreducible quasifinite highest weight modules over the Lie subalgebras of , fixed by minus ), and we realize them in terms of irreducible highest weight representations of the Lie algebra of infinite matrices with finitely many nonzero diagonals and its classical Lie subalgebras of , , and types.
