483 citations · 1.7k across the 181 of their papers we have counts for
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Koszulity and the Hilbert series of preprojective algebras
Pavel Etingof, Ching-Hwa Eu
The goal of this paper is to prove that if Q is a connected non-Dynkin quiver then the preprojective algebra of Q over any field k is Koszul, and has Hilbert series 1/(1-Ct+t^2), w…
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…
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…
Exploring noncommutative algebras via deformation theory
Pavel Etingof
This is the text of the lecture given by the author in Naples at "Giornata IndAM", June 7, 2005. The lecture is addressed at the general mathematical audience and reviews several t…
On a Generalized Two-Fluid Hele-Shaw Flow
Vladimir Entov, Pavel Etingof
We propose a method of construction of exact solutions of free boundary problems corresponding to Hele-Shaw flows in presence of an external field. Such a field may arise, in parti…
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…