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Generalizations of Deodhar's $ \alpha$-localization functor

Author: Ben Cox
Journal: Proc. Amer. Math. Soc. 121 (1994), 981-990
MSC: Primary 17B35; Secondary 16P50
MathSciNet review: 1189540
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Abstract: In this paper we generalize the result of Deodhar (see Invent. Math. 57 (1980), 101-118) on $ \alpha $-localization functors. Namely, we show that localization with respect to a larger family of left denominator sets "intertwines" with tensoring by finite-dimensional representations. In the language of the author's previous work, localization with respect to such a left denominator set produces a new example of an $ \mathfrak{F}$-functor and an $ \mathfrak{F}$-category.

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