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International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

ISSN: 2319-7064



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Multiply Fibred Manifolds

Safa Ahmed Babikir Alsid

Abstract: This paper aimed at investigating the product of longitudinal pseudo differential operators of C^*- algebras _ (=1) ^r_c^ (-) (F_ ) contained in C^*-closure (_c^ (-) ) (F) by fibrations manifolds. Such that {F_} is a family of fibred manifolds. A locally homogenous condition of foliations is required to obtain us a generator of foliation F. this condition equivalent to requiring that Lie subalgebras generate Lie algebra. we also show a brief application of noncommutative harmonic analysis for compact Lie groups.This paper aimed at investigating the product of longitudinal pseudo differential operators of C^*- algebras _ (=1) ^r_c^ (-) (F_ ) contained in C^*-closure (_c^ (-) ) (F) by fibrations manifolds. Such that {F_} is a family of fibred manifolds. A locally homogenous condition of foliations is required to obtain us a generator of foliation F. this condition equivalent to requiring that Lie subalgebras generate Lie algebra. we also show a brief application of noncommutative harmonic analysis for compact Lie groups.

Keywords: Semisimple Lie groups, C^*- algebras, Pseudodifferential Operators, Flag Varieties



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