50 citations · 104 across the 10 of their papers we have counts for
5 papers · 1 filter
On elliptic Calogero-Moser systems for complex crystallographic reflection groups
Pavel Etingof, Giovanni Felder, Xiaoguang Ma +1
To every irreducible finite crystallographic reflection group (i.e., an irreducible finite reflection group G acting faithfully on an abelian variety X), we attach a family of clas…
Quantum symmetric pairs and representations of double affine Hecke algebras of type
David Jordan, Xiaoguang Ma
We build representations of the affine and double affine braid groups and Hecke algebras of type , based upon the theory of quantum symmetric pairs . In the case…
A new take on spherical, Whittaker and Bessel functions (Spherical and Whittaker functions via DAHA I,II)
Ivan Cherednik, Xiaoguang Ma
This paper is based on the lectures given by the first author at Harvard in February and March, 2009. It begins with an introduction to the classical p-adic theory of the Macdonald…
On the lower central series of an associative algebra
Galyna Dobrovolska, John Kim, Xiaoguang Ma +1
This paper continues the study of the lower central series quotients of an associative algebra A, regarded as a Lie algebra, which was started in math/0610410 by Feigin and Shoikhe…
On elliptic Dunkl operators
Pavel Etingof, Xiaoguang Ma
We attach elliptic Dunkl operators to an abelian variety with a finite group action. This generalizes elliptic Dunkl operators for Weyl groups, defined by Buchstaber, Felder, and V…