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Gradings on Representation Categories

In: Proceedings of the International Congress of Mathematicians

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  • Wolfgang Soergel

    (Universität Freiburg, Mathematisches Institut)

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).

Suggested Citation

  • Wolfgang Soergel, 1995. "Gradings on Representation Categories," Springer Books, in: S. D. Chatterji (ed.), Proceedings of the International Congress of Mathematicians, pages 800-806, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-9078-6_73
    DOI: 10.1007/978-3-0348-9078-6_73
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