Conference abstracts
Session S08 - Lie Groups and Representations
July 29, 18:30 ~ 18:50
Lie subalgebras of the matrix quantum pseudo differential operators
Karina Batistelli
CIEM- Famaf, Argentina - khbatistelli@gmail.com
We give a complete description of the anti-involutions that preserve the principal gradation of the algebra $\mathscr{S}_{q,N}$ of $N \times N$ matrix quantum pseudodifferential operators and we describe the Lie subalgebras of its minus fixed points. We obtain, up to conjugation, two families of anti-involutions that show quite different results when $n=N$ and $n \begin{thebibliography} \bibitem[KR]{KR} {\sc V.~G.~Kac and A. Radul, \emph{Quasifinite highest weight modules over the Lie algebra of differential operators on the
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