1.1k citations · 3.7k across the 98 of their papers we have counts for
7 papers · 1 filter
Groups and Lie algebras corresponding to the Yang-Baxter equations
Laurent Bartholdi, Benjamin Enriquez, Pavel Etingof +1
For a positive integer n we introduce quadratic Lie algebras tr_n qtr_n and discrete groups Tr_n, QTr_n naturally associated with the classical and quantum Yang-Baxter equation, re…
On the Integrality of n-th Roots of Generating Functions
Nadia Heninger, E. M. Rains, N. J. A. Sloane
Motivated by the discovery that the eighth root of the theta series of the E_8 lattice and the 24th root of the theta series of the Leech lattice both have integer coefficients, we…
The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points
Pavel Etingof, Andre Henriques, Joel Kamnitzer +1
We compute the Poincare polynomial and the cohomology algebra with rational coefficeints of the manifold M_n of real points of the moduli space of algebraic curves of genus 0 with…
Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices
Peter J. Forrester, Eric M. Rains
In a recent work Killip and Nenciu gave random recurrences for the characteristic polynomials of certain unitary and real orthogonal upper Hessenberg matrices. The corresponding ei…
Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra
Jeffrey C. Lagarias, Eric Rains
This paper studies the behavior under iteration of the maps T_{ab}(x,y) = (F_{ab}(x)- y, x) of the plane R^2, in which F_{ab}(x)= ax if x>0 and bx if x<0. These maps are area-prese…
Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups
Pavel Etingof, Eric Rains
We introduce a central extension of the preprojective algebra of a finite Dynkin quiver (depending on a regular weight for the corresponding root system), whose natural deformed ve…