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Research Paper | Mathematics | Saudi Arabia | Volume 8 Issue 1, January 2019 | Rating: 6.6 / 10
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
Edition: Volume 8 Issue 1, January 2019,
Pages: 1188 - 1192