Titlebook: Collected Papers; Volume I 1955-1966 Bertram Kostant,Anthony Joseph,Shrawan Kumar,Michè Book 2009 The Editor(s) (if applicable) and The Aut

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Laura Bernardi,Dimitri MortelmansWe retain the notation of our previous article. Numbered theorems quoted here are also to be found in that article.

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Claudia Recksiedler,Laura BernardiLet . be a Riemannian manifold with the corresponding affine connection, . an infinitesimal motion on ., and .. the tangent space at a point .. Let .. (the holonomy algebra) be the Lie algebra of the restricted holonomy group at . ? ..

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CRANK

佛刊

https://doi.org/10.1007/978-3-8349-9266-6Let . be a complex simple Lie algebra and let . be the adjoint group of g. It is by now classical that the Poincaré polynomial ..(.) of . factors into the form

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https://doi.org/10.1007/978-3-8349-9266-6Let . be a group of linear transformations on a finite dimensional real or complex vector space .. Assume . is completely reducible as a .-module. Let . be the ring of all complex-valued polynomials on ., regarded as a .-module in the obvious way, and let . ? . be the subring of all .-invariant polynomials on ..

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Fulsome

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On the Conjugacy of Real Cartan Subalgebras,Among the questions which have been raised concerning the structure of a connected semisimple Lie group are those relating to conjugacy of its Cartan subgroups.