On the endomorphisms of weyl modules over affine kac-moody algebras at the critical level

Boris Feigin*, Edward Frenkel, Leonid Rybnikov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We present an independent short proof of the recently established result that the algebra of endomorphisms of a Weyl module of critical level is isomorphic to the algebra of functions on the space of monodromy-free opers on the disc with regular singularity and residue determined by the highest weight of the Weyl module. We derive this from our results about the shift of argument subalgebras.

Original languageEnglish
Pages (from-to)163-173
Number of pages11
JournalLetters in Mathematical Physics
Volume88
Issue number1-3
DOIs
StatePublished - Jun 2009
Externally publishedYes

Keywords

  • Affine Kac
  • Monodromy
  • Moody algebra at critical level
  • Oper
  • Weyl module

Fingerprint

Dive into the research topics of 'On the endomorphisms of weyl modules over affine kac-moody algebras at the critical level'. Together they form a unique fingerprint.

Cite this