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).
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© 1995 Birkhäser Verlag, Basel, Switzerland
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Soergel, W. (1995). Gradings on Representation Categories. In: Chatterji, S.D. (eds) Proceedings of the International Congress of Mathematicians. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-9078-6_73
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DOI: https://doi.org/10.1007/978-3-0348-9078-6_73
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