Corpus ID: 119669719

Representation theory of the cyclotomic Cherednik algebra via the Dunkl-Opdam subalgebra

@inproceedings{Webster2016RepresentationTO,
  title={Representation theory of the cyclotomic Cherednik algebra via the Dunkl-Opdam subalgebra},
  author={Ben Webster},
  year={2016}
}
  • Ben Webster
  • Published 2016
  • Mathematics
  • We give an alternate presentation of the cyclotomic rational Cherednik algebra, which has the useful feature of compatibility with the Opdam-Dunkl subalgebra. This presentation has a diagrammatic flavor, and it provides a simple explanation of several surprising facts about this algebra. It allows direct proof of the connection of category $\mathcal{O}$ to weighted KLR algebras, allows us to classify the simple Dunkl-Opdam modules over the Cherednik algebra and provides an algebraic… CONTINUE READING

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