Lecture Notes

3. The rational Cherednik algebra


Lecture notes on the rational Cherednik algebra, the PBW theorem for the rational Cherednik algebra, the spherical subalgebra, the localization lemma, category O for rational Cherednik algebras, the grading element, standard modules, finite length, characters, irreducible modules, the contragredient module, the contravariant form, the matrix of multiplicities, the rank 1 case, the Frobenius property, and representations of H1,c of type A 23.

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Lecture Notes

Course Info

As Taught In
Fall 2009