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\begin{document}

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\section*{double Hecke algebra}

Double Hecke algebras or \textbf{Cherednik algebras}.

\hypertarget{related_concepts}{}\subsection*{{Related concepts}}\label{related_concepts}

\begin{itemize}%
\item [[Hecke algebra]],


\item [[double affine Hecke algebra]]


\item See also [[Calogero-Moser system]] and [[Dunkl operator]].



\end{itemize}
\hypertarget{references}{}\subsection*{{References}}\label{references}

\begin{itemize}%
\item Pavel Etingof, \emph{Lectures on Calogero-Moser systems}, \href{http://www-math.mit.edu/~etingof/zlecnew.pdf}{pdf}


\item Ivan Cherednik, \emph{Introduction to double Hecke algebras}, \href{http://arxiv.org/abs/math/0404307}{math.QA/0404307}


\item [[Yuri Berest|Yu. Berest]], [[P. Etingof]], [[V. Ginzburg]], \emph{Finite-dimensional representations of rational Cherednik algebras}, Int. Math. Res. Not. 2003, no. 19, 1053-1088.


\item M. Haiman, \emph{Cherednik algebras, Macdonald polynomials and combinatorics}, Proc. ICM, Madrid 2006, Vol. III, 843-872, \href{http://www.mathunion.org/ICM/ICM2006.3/Main/icm2006.3.0843.0872.ocr.djvu}{djvu scan}, \href{http://math.berkeley.edu/~mhaiman/ftp/icm-2006/comb-mac-chered.pdf}{author's pdf}


\item P. Etingof, V. Ginzburg, \emph{Symplectic reflection algebras, Calogero--Moser space, and deformed Harish-Chandra homomorphism}, Invent. Math. 147 (2) (2002) 243--348, \href{http://www.ams.org/mathscinet-getitem?mr=1881922}{MR2003b:16021}, \href{http://dx.doi.org/10.1007/s002220100171}{doi}


\item I. Cherednik, \emph{Double affine Hecke algebras. Knizhnik-Zamolodchikov equations, and Macdonald operators}, IMRN (Duke Math. J.) 9 (1992), 171--180 MR1185831 (94b:17040), \emph{A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras}, Invent. math. \textbf{106} (1991), 411--431 MR1128220 (93b:17040)


\item I. Cherednik, Y. Markov, \emph{Hankel transform via double Hecke algebra}, math.QA/0004116


\item Wee Liang Gan, [[Victor Ginzburg]], \emph{Almost-commuting variety, $\mathcal{D}$-modules, and Cherednik algebras}, With an appendix by Ginzburg. IMRP Int. Math. Res. Pap. 2006, 26439, 1--54, \href{http://www.ams.org/mathscinet-getitem?mr=2210660}{MR2008c:14062}


\item V. Ginzburg, N. Guay, E. Opdam, R. Rouquier, On the category $\mathcal{O}$ for rational Cherednik algebras, Invent. Math. \textbf{154} (3) (2003) 617--651


\item Kevin McGerty, \emph{Microlocal KZ functors and rational Cherednik algebras}, \href{http://arxiv.org/abs/1006.1599}{arxiv/1006.1599}



\end{itemize}
There is also a $q$-deformation:

\begin{itemize}%
\item Yuri Bazlov, Arkady Berenstein, \emph{Noncommutative Dunkl operators and braided Cherednik algebras}, Selecta Math. (N.S.) \textbf{14} (2009), no. 3-4, 325--372, \href{http://pages.uoregon.edu/arkadiy/doubles.pdf}{pdf}, \href{http://www.ams.org/mathscinet-getitem?mr=2511188}{MR2010k:16044}, \href{http://dx.doi.org/10.1007/s00029-009-0525-x}{doi}

\end{itemize}
[[!redirects Cherednik algebra]]



\end{document}