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}
}
  • Sheela Devadas, Yi Sun
  • Published 2017
  • Mathematics
  • Communications in Algebra
  • 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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