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

C. BOYALLIAN Y V. MEINARDI

Ottawa, Canadá

Congreso; Geometric Representation Theory Summer School and Conference; 2009

Field Institute

In this paper 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 representations theory of the complex Lie algebra g`[m] 1 of infinite matrices with a finite number of non-zero diagonals with entries in the algebra of truncated polynomials, and the corresponding subalgebras of type B and D.