most recent 30 from http://mathoverflow.net 2013-05-22T00:16:10Z http://mathoverflow.net/feeds/question/96906 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/96906/why-are-there-no-triple-affine-hecke-algebras Gjergji Zaimi 2012-05-14T14:52:10Z 2012-05-14T14:52:10Z

<p>This question arised after I recently stumbled upon the paper <a href="http://arxiv.org/abs/math/0304186" rel="nofollow">"Triple groups and Cherednik algebras"</a>. Doubly affine Hecke algebras are sort of a natural object to consider after finite and affine Hecke algebras. This makes one wonder, why are there no "triple affine Hecke algebras"? Or, if such a construction exists, why are they not useful? (The theory of doubly affine Hecke algebras has proved to have deep consequences and relations with many fields of mathematics, see this <a href="http://mathoverflow.net/questions/6517/double-affine-hecke-algebras-and-mainstream-mathematics" rel="nofollow">previous question</a>.)</p>