Algebra and Combinatorics Seminar

Date: January 26, 2018

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Karina Batistelli, U. N. Cordoba

Title: Some Lie subalgebras of the matrix quantum pseudo-differential operators

Abstract: In this talk, we will characterize the irreducible quasifinite highest weight modules of some subalgebras of the Lie algebra of matrix quantum pseudodifferential operators N x N. In order to do this, we will first give a complete description of the anti-involutions that preserve the principal gradation of the algebra of NxN matrix quantum pseudodifferential operators and we will describe the Lie subalgebras of its minus fixed points. We will obtain, up to conjugation, two families of anti-involutions that show quite different results when n=N and n