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

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Twisted Localization of Weight Modules,We discuss how the twisted localization functor leads to a classification of the simple objects and a description of the injectives in various categories of weight modules. The article is a survey on existing results for finite-dimensional simple Lie algebras and superalgebras, affine Lie algebras, and algebras of differential operators.

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Dirac Cohomology and Generalization of Classical Branching Rules,We generalize certain classical results on branching rules such as the Littlewood restriction formulae. Our formulae are expressed in terms of a linear integral combination of the Littlewood–Richardson coefficients and in terms of Dirac cohomology.

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Geoffrey Mason,Ivan Penkov,Joseph A. WolfIncludes contributions from an international group of experts in representation and Lie theory.Reflects the widespread influence of the Lie Theory Workshop on areas such as harmonic analysis, differen

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Additive

978-3-319-37820-6Springer International Publishing Switzerland 2014

Barrister

https://doi.org/10.1007/b138568igate situations where the dimension of a rational cohomology group for . can be bounded by a constant times the dimension of the coefficient module. As an application, effective bounds on the first cohomology of the symmetric group are obtained. We also show how, for finite Chevalley groups, our me

DEI

https://doi.org/10.1007/978-3-642-23762-1 the analog of the Kazhdan–Lusztig conjecture as formulated by the author in 2002, which was finally proved in 2011 by Cheng, Lam and Wang. Recently another proof has been obtained by the author joint with Losev and Webster, by a method which leads moreover to the construction of a Koszul-graded lif

Control-Group

Fitnat Dincer M.D.,Gulbuz Samutf . whose duals preserve .. In their work, the category . of .-modules, which are finite length subquotients of the tensor algebra ., is singled out and studied. Denoting by . the category with the same objects as . but regarded as . ? .-modules, we first show that when . and . are paired by dual ba