Character formulas and Bernstein–Gelfand–Gelfand resolutions for Cherednik algebra modules
نویسندگان
چکیده
منابع مشابه
Projective modules in the category O for the Cherednik algebra
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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We show how to express the characters of tilting modules in a (possibly parabolic) category O over a Kac-Moody algebra in terms of the characters of simple highest weight modules. This settles, in lots of cases, Conjecture 7.2 of Kazhdan-Lusztig-Polynome and eine Kombinatorik für Kipp-Moduln, Representation Theory (An electronic Journal of the AMS) (1997), by the author, describing the characte...
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We construct and study some finite dimensional modules for rational Cherednik algebras for the groups G(r, p, n) by using intertwining operators and a commutative family of operators introduced by Dunkl and Opdam. The coinvariant ring and an analog of the ring constructed by Gordon in the course of proving Haiman’s conjectures on diagonal coinvariants are special cases. We study a certain hyper...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2016
ISSN: 0024-6115,1460-244X
DOI: 10.1112/plms/pdw044