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Elliptic double affine Hecke algebras

Rains, Eric M. (2017) Elliptic double affine Hecke algebras. , Pasadena, CA. (Submitted)

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We give a construction of an affine Hecke algebra associated to any Coxeter group acting on an abelian variety by reflections; in the case of an affine Weyl group, the result is an elliptic analogue of the usual double affine Hecke algebra. As an application, we use a variant of the C_n version of the construction to construct a flat noncommutative deformation of the nth symmetric power of any rational surface with a smooth anticanonical curve.

Item Type:Report or Paper (Discussion Paper)
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Additional Information:Supported by grants from the National Science Foundation, DMS-1001645 and DMS-1500806.
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Record Number:CaltechAUTHORS:20170922-134529235
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81753
Deposited By: Tony Diaz
Deposited On:22 Sep 2017 21:25
Last Modified:03 Oct 2019 18:46

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