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arXiv · 1810.01247

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

Armin Gusenbauer
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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.

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BibTeXRIS

Armin Gusenbauer. 2018-10-02. Singular polynomials for the rational Cherednik algebra for G(r,1,2). https://arxiv.org/abs/1810.01247

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