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Post AhNvBD3OeRJsph8MRE by [email protected]
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Post #AhKJddtS4nV8RyjWfQ by [email protected]
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It’s a well known result that if \(G\) is a connected and compact Lie group, …
Post #AhKJddxhoyu6fAivIW by [email protected]
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@Diffgeometer1 - the Lie algebra of a Lie group is isomorphic to the Lie algebr…
Post #AhKOLGAy1CKbRxyo6K by [email protected]
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@johncarlosbaez Thanks! That makes sense. As you pointed out, if \(G\) has m…
Post #AhKOhxk2irP4wCDBc8 by [email protected]
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@Diffgeometer1 - More generally if any space X is the disjoint union of n copie…
Post #AhKQJPfzvNtgFDk1Me by [email protected]
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@johncarlosbaez I didn’t consider that! All the components of a Lie group are…
Post #AhNL8jlwx26R5aUkzI by [email protected]
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@johncarlosbaez i looked at the proof which equates Lie algebra cohomology with…
Post #AhNL8jqYftmzJseRAe by [email protected]
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@Diffgeometer1 - the generalization you mention is new to me and interesting. …
Post #AhNjiOGMnWTfhhFvZA by [email protected]
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@johncarlosbaez Exactly! One place where we see a finite dimensional space of \…
Post #AhNmqMMu1dLQ0UnxNg by [email protected]
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@Diffgeometer1 - nice! It would be fun to try to use this to compute the de Rh…
Post #AhNvBD3OeRJsph8MRE by [email protected]
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@johncarlosbaez Very interesting!I’ve heard of the Stiefel manifold but never…
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