Singular polynomials for the rational Cherednik algebra for G(r,1,2)

Armin Gusenbauer

Singular polynomials for the rational Cherednik algebra for G(r,1,2)

Representation Theory 2018-10-03 v1

Authors: Armin Gusenbauer

Abstract

We study the rational Cherednik algebra attached to the complex reflection group $G(r,1,2)$ . Each irreducible representation $S^\lambda$ of $G(r,1,2)$ corresponds to a standard module $\Delta(\lambda)$ for the rational Cherednik algebra. We give necessary and sufficient conditions for the existence of morphism between two of these modules and explicit formulas for them when they exist.

Keywords

lie algebras and modules module theory representation theory of groups

Cite

@article{arxiv.1810.01247,
  title  = {Singular polynomials for the rational Cherednik algebra for G(r,1,2)},
  author = {Armin Gusenbauer},
  journal= {arXiv preprint arXiv:1810.01247},
  year   = {2018}
}

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