Finite-dimensional representations of DAHA and affine Springer fibers: The spherical case

@article{Varagnolo2007FinitedimensionalRO,
  title={Finite-dimensional representations of DAHA and affine Springer fibers: The spherical case},
  author={M. Varagnolo and E. Vasserot},
  journal={Duke Mathematical Journal},
  year={2007},
  volume={147},
  pages={439-540}
}
We classify finite dimensional simple spherical representations of rational double affine Hecke algebras, and we study a remarkable family of finite dimensional simple spherical representations of double affine Hecke algebras. 
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