Titlebook: Developments and Retrospectives in Lie Theory; Geometric and Analyt Geoffrey Mason,Ivan Penkov,Joseph A. Wolf Book 2014 Springer Internatio

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978-3-319-34875-9Springer International Publishing Switzerland 2014

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Schuld und Sühne: Hamlet und RaskolnikowThis paper is devoted to some applications of the theory of group gradings on Lie algebras to two topics of differential geometry, such as generalized symmetric manifolds and affine structures on nilmanifolds.

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,Twisted Harish–Chandra Sheaves and Whittaker Modules: The Nondegenerate Case,In this paper we develop a geometric approach to the study of the category of Whittaker modules. As an application, we reprove a well-known result of B. Kostant on the structure of the category of nondegenerate Whittaker modules.

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The Radon Transform and Its Dual for Limits of Symmetric Spaces,tudy algebraic versions of those transforms on inductive limits of symmetric spaces. In particular, we show that normalized versions exists on some spaces of regular functions on the limit. We give a formula for the normalized transform using integral kernels and relate them to limits of double fibration transforms on spheres.