Some examples of nil Lie algebras

Ivan P. Shestakov; Efim Zelmanov

Journal of the European Mathematical Society (2008)

  • Volume: 010, Issue: 2, page 391-398
  • ISSN: 1435-9855

Abstract

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

How to cite

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Shestakov, Ivan P., and Zelmanov, Efim. "Some examples of nil Lie algebras." Journal of the European Mathematical Society 010.2 (2008): 391-398. <http://eudml.org/doc/277666>.

@article{Shestakov2008,
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.},
author = {Shestakov, Ivan P., Zelmanov, Efim},
journal = {Journal of the European Mathematical Society},
keywords = {infinite-dimensional nil Lie algebras; finite Gelfand–Kirillov dimension; field of positive characteristic},
language = {eng},
number = {2},
pages = {391-398},
publisher = {European Mathematical Society Publishing House},
title = {Some examples of nil Lie algebras},
url = {http://eudml.org/doc/277666},
volume = {010},
year = {2008},
}

TY - JOUR
AU - Shestakov, Ivan P.
AU - Zelmanov, Efim
TI - Some examples of nil Lie algebras
JO - Journal of the European Mathematical Society
PY - 2008
PB - European Mathematical Society Publishing House
VL - 010
IS - 2
SP - 391
EP - 398
AB - Generalizing Petrogradsky’s construction, we give examples of infinite-dimensional nil Lie algebras of finite Gelfand–Kirillov dimension over any field of positive characteristic.
LA - eng
KW - infinite-dimensional nil Lie algebras; finite Gelfand–Kirillov dimension; field of positive characteristic
UR - http://eudml.org/doc/277666
ER -

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