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arxiv: 1612.09430 · v1 · pith:KGUMRYIZnew · submitted 2016-12-30 · 🧮 math.RT

The finite-dimensional representations of the rational Cherednik algebra of E₈ when c=1/3

classification 🧮 math.RT
keywords cherednikfinite-dimensionalrationalrepresentationswhenalgebraalgebrascase
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We finish the classification of finite-dimensional irreducible representations of rational Cherednik algebras $H_c(W)$ with equal parameters for exceptional Coxeter groups by resolving the last open case: when $W=E_8$ and the denominator of $c$ is $3$.

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