CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Quasifinite representations of the Lie matrix Lie algebra of W^N_1+\infty
Autor/es:
C. BOYALLIAN Y V. MEINARDI
Revista:
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Editorial:
IOP PUBLISHING LTD
Referencias:
Año: 2011 vol. 44 p. 1 - 23
ISSN:
1751-8113
Resumen:
In this paper, we classify the irreducible quasi-finite highest weight modules of the Lie subalgebras W^N_{∞, p} of the Lie algebra of matrix differential operators on the circle. We also realize the W^N_{∞}-modules in terms of the representation theory of the complex Lie algebra gL^[m]_∞ of infinite matrices with a finite number of nonzero diagonals with entries in the algebra of truncated polynomials.
