English

Rigidity of Kac-Schwarz operators

Mathematical Physics 2019-11-25 v1 math.MP Representation Theory

Abstract

In his work on the mathematical formulation of 2d quantum gravity Schwarz established a rigidity result for Kac-Schwarz operators for the n-KdV hierarchies. Later on, Adler and van Moerbeke as well as Fastr\'{e} obtained different proofs of this result. We give yet another proof of the rigidity, one that in fact holds for all Drinfeld-Sokolov hierarchies.

Cite

@article{arxiv.1911.05119,
  title  = {Rigidity of Kac-Schwarz operators},
  author = {Martin Luu},
  journal= {arXiv preprint arXiv:1911.05119},
  year   = {2019}
}
R2 v1 2026-06-23T12:13:32.795Z