JournalsprimsVol. 30 , No. 3DOI 10.2977/prims/1195165907

Yangians and Gelfand-Zetlin Bases

  • Maxim Nazarov

    University of Wales Swansea, UK
  • Vitaly Tarasov

    Steklov Mathematical Institute, St. Petersburg, Russian Federation
Yangians and Gelfand-Zetlin Bases cover

Abstract

We establish a connection between the modern theory of Yangians and the classical construction of the Gelfand-Zetlin bases for the Lie algebra gln. Our approach allows us to produce the q-analogues of the Gelfand-Zetlin formulae in a straightforward way.