JournalsjemsVol. 10, No. 2pp. 391–398

Some examples of nil Lie algebras

  • Ivan P. Shestakov

    Universidade de São Paulo, Brazil

  • Efim Zelmanov

    University of California, San Diego, United States
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Abstract

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

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

DOI 10.4171/JEMS/114