Gradings on Representation Categories

Wolfgang Soergel
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Wolfgang Soergel: Universität Freiburg, Mathematisches Institut

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 800-806 from Springer

Abstract: Abstract Let g ⊃b ⊃h be a complex semisimple Lie algebra, a Borel, and a Cartan. Let O be the category of all finitely generated g-modules that are locally finite over b and semisimple over h, see [BGG76]. This category is of interest, as it is a close relative of the category of Harish-Chandra modules for the corresponding simply connected complex algebraic group G, considered as a real Lie group, see [BG80]. For example, for g =sl(n, ℂ) one takes G =SL(n, ℂ).

Date: 1995
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DOI: 10.1007/978-3-0348-9078-6_73

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