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Timeline for Lie algebraic Grassmannian

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Mar 18, 2014 at 22:33 history edited Ali Taghavi CC BY-SA 3.0
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Mar 17, 2014 at 17:21 comment added Ali Taghavi @MarianoSuárez-Alvarez Thank you very much for your comment. I am not on "fishing expedition". In MO I just try to learn some thing from specialist and positive mathematician who encourage even an $\epsilon$ new idea, and positively help to develop this $\epsilon$ new idea.
Mar 16, 2014 at 23:03 comment added Deane Yang Ali, I have no opinion about this, since I have never studied it. It appears to me that the others have given reasonable responses and suggestions. Try the simplest Lie algebras you can think of.
Mar 16, 2014 at 22:53 comment added Ali Taghavi @DeaneYang thank you for your suggestion. I try to compute it in a low dimensional case. I would like to know your opinion about this question. do you think that this leads to triviality? Do you think that there are examples of "manifold" case and also examples of singular case?(thanks again for you comment)
Mar 16, 2014 at 22:38 comment added Deane Yang Ali, Mariano's suggestion is a reasonable one. When investigating a general question like yours, you should first try to answer it for specific cases, where everything can be described explicitly and the question answered using explicit calculations.
Mar 16, 2014 at 22:30 history edited Ali Taghavi
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Mar 16, 2014 at 15:09 history edited Ali Taghavi CC BY-SA 3.0
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Mar 16, 2014 at 13:57 comment added Ali Taghavi @AlexDegtyarev every quantity or object which is invariant under Lie automorphisms. for example Killing form
Mar 16, 2014 at 11:58 answer added abx timeline score: 7
Mar 16, 2014 at 11:45 comment added Alex Degtyarev What are "Lie algebraic invariants"?
Mar 16, 2014 at 11:40 comment added Mariano Suárez-Álvarez You have asked a few questions like this, and it feels a bit like you are on a »fishing expedition»... Have you tried to compute an example of this $GLr(k,n)_L$, do you have an example where this is a manifold? why would one expect a sensible description of the Lie algebras where this works?, why do you expect any relation whatsoever between characteristic classes?
Mar 16, 2014 at 11:26 history asked Ali Taghavi CC BY-SA 3.0