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Title:
BGG resolutions for rational Cherednik algebras
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Abstract:
Known or conjectural BGG resolutions for simple representations in category O of the Cherednik algebra tend to produce invariants of interest in algebraic combinatorics and commutative algebra. But in contrast to category O for a Kac-Moody algebra, there are few known classes of interesting simple representations that admit BGG resolutions. I will survey the known and conjectural results. (Based on joint work with Christine Berkesch-Zamaere, Susanna Fishel, Emily Norton, and Steven Sam.)
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