Harmonic C^*-Categories of Longitudinal Psudodifferential Operators of Higher Order over Flag Variety (Published)
The main aim of this paper is to use Gelfand- Tsetlin bases to show that the set of longitudinal psudo differential operators of order zero or higher on homogenuose vector bundles is the subset of simultaneous multiplier category , for -categories and operators between spaces, with simple roots of Lie group by using the Lie algebra weight; .