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

Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

#### Citations

##### Publications citing this paper.
SHOWING 1-2 OF 2 CITATIONS

## Steenrod Operators, the Coulomb Branch and the Frobenius Twist, I

VIEW 1 EXCERPT
CITES BACKGROUND

#### References

##### Publications referenced by this paper.
SHOWING 1-6 OF 6 REFERENCES

## Generalized Jack polynomials and the representation theory of rational Cherednik algebras

• Mathematics
• 2010

## Lauda, A diagrammatic approach to categorification of quantum groups

• Mikhail Khovanov, D Aaron
• I, Represent. Theory
• 2009

## Cherednik algebras and Hilbert schemes in characteristic p

• Mathematics
• 2003

## Dunkl operators for complex reflection groups

• Mathematics
• 2001

## Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism

• Mathematics
• 2000