QHWM of the orthogonal type Lie subalgebra of the Lie algebra of matrix differential operators on the circle

Carina Boyallian and Vanesa Meinardi In this paper we classify the irreducible quasifinite highest weight modules of the orthogonal Lie subalgebra of the Lie algebra of matrix differential operators on the circle. We also realize them in terms of the representation theory of the complex Lie algebra g[script-l] of infinite matrices with ... [J. Math. Phys. 51, 093521 (2010)] published Tue Sep 28, 2010.