Miura Opers and Critical Points of Master Functions
| dc.creator | Mukhin, Evgeny | |
| dc.creator | Varchenko, Alexander | |
| dc.date | 2003-12-22 | |
| dc.date | 2004-10-12 | |
| dc.date.accessioned | 2026-07-07T05:04:06Z | |
| dc.date.available | 2026-07-07T05:04:06Z | |
| dc.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. | |
| dc.description | Latex, 27 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312406 | |
| dc.identifier | http://arxiv.org/abs/math/0312406 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69676 | |
| dc.subject | Quantum Algebra | |
| dc.title | Miura Opers and Critical Points of Master Functions | |
| dc.type | text |