Projective modules in the category O for the Cherednik algebra

نویسنده

  • Nicolas Guay
چکیده

We study projective objects in the category OHc(0) of the Cherednik algebra introduced recently by Berest, Etingof and Ginzburg. We prove that it has enough projectives and that it is a highest weight category in the sense of Cline, Parshall and Scott, and therefore satisfies an analog of the BGG-reciprocity formula for a semisimple Lie algebra.

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تاریخ انتشار 2007