Some examples of nil Lie algebras

  • Efim Zelmanov

    University of California, San Diego, United States
  • Ivan P. Shestakov

    Universidade de São Paulo, Brazil


Generalizing Petrogradsky’s construction, we give examples of infinite-dimensional nil Lie algebras of finite Gelfand–Kirillov dimension over any field of positive characteristic.

Cite this article

Efim Zelmanov, Ivan P. Shestakov, Some examples of nil Lie algebras. J. Eur. Math. Soc. 10 (2008), no. 2, pp. 391–398

DOI 10.4171/JEMS/114