Geodesic
Double affine Hecke algebras and 2-dimensional local fields
Kapranov, M. 1
1 Department of Mathematics, University of Toronto, 100 St. George St., Toronto, Ontario, Canada M5S 3G3
Journal of the American Mathematical Society, Tome 14 (2001) no. 1, pp. 239-262 Cet article a éte moissonné depuis la source American Mathematical Society

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We give an interpretation of the double affine Hecke algebra of Cherednik as a (suitably regularized) algebra of double cosets of a group $G$ by a subgroup $\mathcal F$, extending the well-known interpretations of the finite and affine Hecke algebras. In this interpretation, $G$ consists of $K$-points of a simple algebraic group, where $K$ is a 2-dimensional local field such as $\mathbf Q_p((t))$ or $F_q((t_1))((t_2))$, and $\mathcal F$ is a certain analog of the Iwahori subgroup.
DOI : 10.1090/S0894-0347-00-00354-4

Kapranov, M.  1

1 Department of Mathematics, University of Toronto, 100 St. George St., Toronto, Ontario, Canada M5S 3G3 
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Kapranov, M. Double affine Hecke algebras and 2-dimensional local fields. Journal of the American Mathematical Society, Tome 14 (2001) no. 1, pp. 239-262. doi: 10.1090/S0894-0347-00-00354-4

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