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

How to Cite?: Safa Ahmed Babikir Alsid, "Multiply Fibred Manifolds", Volume 8 Issue 1, January 2019, International Journal of Science and Research (IJSR), Pages: 1188-1192, https://www.ijsr.net/getabstract.php?paperid=ART20194503, DOI: https://dx.doi.org/10.21275/ART20194503