Highest weight categories and recollements
نویسندگان
چکیده
منابع مشابه
Highest Weight Categories and Recollements
We provide several equivalent descriptions of a highest weight category using recollements of abelian categories. Also, we explain the connection between sequences of standard and exceptional objects.
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This is a report on my ongoing joint work with Martin Kalck. The recollement generated by a projective module is described. Application to singularity categories is discussed.
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Let G be a semisimple, simply connected algebraic group defined over an algebraically closed field k of positive characteristic p. Assume that p is larger than the Coxeter number of G and that the Lusztig character formula holds for regular restricted dominant weights. In this paper, we introduce two new highest weight categories C even and C reg odd , both full subcategories of the category C ...
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This paper is dedicated to the memory of Donald Higman. Don was especially attracted to methods with some kind of fundamental simplicity but with sufficient substance to be useful and illuminating. This paper is written in the spirit of this lofty aspiration and also somewhat in the direction of Don’s early interests in homological algebra. The paper begins in Section 1 with a foundational disc...
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We give an equivalence between the derived category of a locally finitely presented category and the derived category of contravariant functors from its finitely presented subcategory to the category of abelian groups, in the spirit of Krause’s work [H. Krause, Approximations and adjoints in homotopy categories, Math. Ann. 353 (2012), 765–781]. Then we provide a criterion for the existence of r...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2017
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.3147