Lax operator algebras

I. M. Krichever, O. K. Sheinman

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


In this paper, we develop the general approach, introduced in [l], to Lax operators on algebraic curves. We observe that the space of Lax operators is closed with respect to their usual multiplication as matrix-valued functions. We construct orthogonal and symplectic analogs of Lax operators, prove that they form almost graded Lie algebras, and construct local central extensions of these Lie algebras.

Original languageEnglish
Pages (from-to)284-294
Number of pages11
JournalFunctional Analysis and its Applications
Issue number4
Publication statusPublished - Oct 2007
Externally publishedYes


  • Almost graded structure
  • Current algebra
  • Lax operator
  • Local central extension
  • Tyurin data


Dive into the research topics of 'Lax operator algebras'. Together they form a unique fingerprint.

Cite this