Titlebook: Highlights in Lie Algebraic Methods; Anthony Joseph,Anna Melnikov,Ivan Penkov Book 2012 Springer Science+Business Media, LLC 2012 Kac–Mood

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Categories of Harish-Chandra ModulesWe discuss the conjectural relation between the structure of a category of representations and the geometry of its space of Langlands parameters, emphasizing examples.

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https://doi.org/10.1007/978-0-8176-8274-3Kac–Moody superalgebras; Lie algebraic methods; representation theory; spherical varieties; vertex algeb

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Springer Science+Business Media, LLC 2012

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经典

Spherical Varietiesenting fundamental results for homogeneous varieties under (possibly nonlinear) algebraic groups. Then we turn to the class of log homogeneous varieties, for which the orbits are the strata defined by a divisor with normal crossings. In particular, we discuss the close relationship between log homog

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男学院

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Generalized Harish-Chandra Modulesers. In the first section we present basic definitions and theorems concerning Harish-Chandra modules, Fernando–Kac subalgebras associated to .-modules, generalized Harish-Chandra modules, and the special case of weight modules. Work of Kostant allows us to demonstrate that not all simple .-modules