50 citations · 104 across the 10 of their papers we have counts for
11 papers
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…
Lecture notes on Cherednik algebras
Pavel Etingof, Xiaoguang Ma
The present notes are based on a course on Cherednik algebras given by the first author at MIT in the Fall of 2009. Their goal is to give an introduction to Cherednik algebras, and…
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 some representations of degenerate affine Hecke algebras of type
Xiaoguang Ma
Let G=U(p,q) and K=U(p)xU(q). In arXiv:0801.1530, the authors construct a functor from the category of Harish-Chandra modules for the pair (G,K) to the category of representations…
On universal Lie nilpotent associative algebras
Pavel Etingof, John Kim, Xiaoguang Ma
We study the quotient Q_i(A) of a free algebra A by the ideal M_i(A) generated by relation that the i-th commutator of any elements is zero. In particular, we completely describe s…