# The polynomial representation of the type An−1 rational Cherednik algebra in characteristic p | n

@article{Devadas2017ThePR, title={The polynomial representation of the type An−1 rational Cherednik algebra in characteristic p | n}, author={Sheela Devadas and Yi Sun}, journal={Communications in Algebra}, year={2017}, volume={45}, pages={1926 - 1934} }

ABSTRACT We study the polynomial representation of the rational Cherednik algebra of type An−1 with generic parameter in characteristic p for p | n. We give explicit formulas for generators for the maximal proper graded submodule, show that they cut out a complete intersection, and thus compute the Hilbert series of the irreducible quotient. Our methods are motivated by taking characteristic p analogues of existing characteristic 0 results.

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