Bernstein–Gelfand–Gelfand resolutions and the constructible t-structure

نویسندگان

چکیده

We consider analogues of the Bernstein–Gelfand–Gelfand resolution in a highest weight category P♡. prove resulting complexes is chain-level lift heart constructible t-structure on its bounded derived P. In particular, an object admits Bernstein-Gelfand-Gelfand if and only certain Ext vanishing with costandard objects holds. These results appear to be new even for Category O.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2022

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2022.07.008