Miura Opers and Critical Points of Master Functions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Critical points of a master function associated to a simple Lie algebra \g come in families called the populations [MV1]. We prove that a population is isomorphic to the flag variety of the Langlands dual Lie algebra \g^t. The proof is based on the correspondence between critical points and differential operators called the Miura opers. For a Miura oper D, associated with a critical point of a population, we show that all solutions of the differential equation DY=0 can be written explicitly in terms of critical points composing the population.
Latex, 27 pages

Keywords

Quantum Algebra

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/69676

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312406
 http://arxiv.org/abs/math/0312406

Collections

arXiv