English

Commuting differential operators with regular singularities

Analysis of PDEs 2007-05-23 v1 Representation Theory

Abstract

We study a system of partial differential equations defined by commuting family of differential operators with regular singularities. We construct ideally analytic solutions depending on a holomorphic parameter. We give some explicit examples of differential operators related to SL(n,R)SL(n,\mathbb R) and completely integrable quantum systems.

Keywords

Cite

@article{arxiv.math/0611899,
  title  = {Commuting differential operators with regular singularities},
  author = {Toshio Oshima},
  journal= {arXiv preprint arXiv:math/0611899},
  year   = {2007}
}

Comments

24 pages