Harmonic C^*-Categories of Longitudinal Pseudo Differential Operators over Flag Variety
Keywords:
Gelfand-Tsetlin pattern, harmonic analysis on flag variety, longitudinal psudodifferential operators, Lie algebras and Lie groupAbstract
Let K = be the special unitary group and maximal compact subgroup of the special linear group .by depending on order n, The main aim of this paper is to use Gelfand- Tsetlin bases to show that the set of longitudinal pseudodifferential operators on homogeneous 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 and weight .
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