एमटीएच624ए - डिफरेंशियल मैनिफोल्ड्स एंव लाई ग्रुप्स
Prerequisites:
3-0-0-9
Course Contents
Differentiable manifolds; Tangent space. Vector fields; Frobenius theorem; Relation between Lie sub algebras & Lie subgroups; Cartans theorem on closed sub groups; One parameter subgroups; Exponential maps; Ad joint representation; Homogeneous spaces; Compact Lie groups; Symmetric spaces.
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