6 citations · 9 across the 4 of their papers we have counts for
5 papers
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…
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…
Density of Eigenvalues of Random Normal Matrices with an Arbitrary Potential, and of Generalized Normal Matrices
Pavel Etingof, Xiaoguang Ma
Following the works by Wiegmann-Zabrodin, Elbau-Felder, Hedenmalm-Makarov, and others, we consider the normal matrix model with an arbitrary potential function, and explain how the…
Elliptic Genera of Complete Intersections
Xiaoguang Ma, Jian Zhou
We propose a new definition of the elliptic genera for complete intersections, not necessarily nonsingular, in projective spaces. We also prove they coincide with the expressions o…