Opers with irregular singularity and spectra of the shift of argument subalgebra
Opers with irregular singularity and spectra of the shift of argument subalgebra
The universal enveloping algebra of any simple Lie algebra g contains a family of commutative subalgebras, called the quantum shift of argument subalgebras math.RT/0606380, math.QA/0612798. We prove that generically their action on finite-dimensional modules is diagonalizable and their joint spectra are in bijection with the set of monodromy-free opers for …