CaltechAUTHORS
  A Caltech Library Service

Elliptic double affine Hecke algebras

Rains, Eric M. (2017) Elliptic double affine Hecke algebras. , Pasadena, CA. (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20170922-134529235

[img] PDF - Submitted Version
See Usage Policy.

934Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20170922-134529235

Abstract

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)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/1709.02989arXivDiscussion Paper
Additional Information:Supported by grants from the National Science Foundation, DMS-1001645 and DMS-1500806.
Funders:
Funding AgencyGrant Number
NSFDMS-1001645
NSFDMS-1500806
Record Number:CaltechAUTHORS:20170922-134529235
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170922-134529235
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81753
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:22 Sep 2017 21:25
Last Modified:22 Sep 2017 21:25

Repository Staff Only: item control page