On modules over matrix quantum pseudo-differential operators

Boyallian, Carina; Liberati, Jose Ignacio

info:eu-repo/semantics/article

Fecha

2002-04

Registro en:

Boyallian, Carina; Liberati, Jose Ignacio; On modules over matrix quantum pseudo-differential operators; Springer; Letters In Mathematical Physics; 60; 1; 4-2002; 73-85

0377-9017

http://hdl.handle.net/11336/129962

1573-0530

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4397782

Autor

Boyallian, Carina

Liberati, Jose Ignacio

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

We classify all the quasifinite highest-weight modules over the central extension of the Lie algebra of matrix quantum pseudo-differential operators, and obtain them in terms of representation theory of the Lie algebra gl(∞, Rm) of infinite matrices with only finitely many nonzero diagonals over the algebra Rm = ℂ[t]/(tm+1). We also classify the unitary ones.

Materias

GRADED LIE ALGEBRAS

QUASIFINITE HIGHEST WEIGHT MODULES

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