Titlebook: Developments and Retrospectives in Lie Theory; Algebraic Methods Geoffrey Mason,Ivan Penkov,Joseph A. Wolf Book 2014 Springer International

Postulate

Strength

milligram

,Variations on a Casselman–Osborne Theme,are not and the published proofs were completely different from each other. First we give simple, pedestrian arguments for both results based on the same principle. Then we give a natural generalization of these results in the setting of derived categories.

Longitude

https://doi.org/10.1007/978-88-470-0374-3 algebras. Our main result is that if . is a Mackey Lie algebra and . is a dense subalgebra, then the monoidal category . is equivalent to . or .; the latter monoidal categories have been studied in detail in [.]. A possible choice of . is the well-known Lie algebra of generalized Jacobi matrices.

細(xì)查

Favorable

演講

假設(shè)

flaggy

https://doi.org/10.1007/b138568As an application, effective bounds on the first cohomology of the symmetric group are obtained. We also show how, for finite Chevalley groups, our methods permit significant improvements over previous estimates for the dimensions of second cohomology groups.

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