2 papers
math.CA2015
Noncommutative bispectral Darboux transformations
Joel Geiger, Emil Horozov, Milen Yakimov
We prove a general theorem establishing the bispectrality of noncommutative Darboux transformations. It has a wide range of applications that establish bispectrality of such transf…
math.RA2012
Quantum Schubert cells via representation theory and ring theory
Joel Geiger, Milen Yakimov
We resolve two questions of Cauchon and Meriaux on the spectra of the quantum Schubert cell algebras U^-[w]. The treatment of the first one unifies two very different approaches to…