Geodesic
Nil graded self-similar algebras
Victor M. Petrogradsky1 ; Ivan P. Shestakov2 ; Efim Zelmanov3
1Ulyanovsk State University, Russian Federation
2Universidade de São Paulo, Brazil
3University of California, San Diego, United States
Groups, geometry, and dynamics, Tome 4 (2010) no. 4, pp. 873-900

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DOI

In [19], [24] we introduced a family of self-similar nil Lie algebras L over fields of prime characteristic p>0 whose properties resemble those of Grigorchuk and Gupta–Sidki groups. The Lie algebra L is generated by two derivations
DOI : 10.4171/ggd/112
Classification : 17-XX, 11-XX, 16-XX, 00-XX
Mots-clés : Modular Lie algebras, growth, nil-algebras, self-similar, Gelfand–Kirillov dimension, Lie algebras of vector fields, Grigorchuk group, Gupta–Sidki group

Victor M. Petrogradsky  1   ; Ivan P. Shestakov  2   ; Efim Zelmanov  3

1 Ulyanovsk State University, Russian Federation
2 Universidade de São Paulo, Brazil
3 University of California, San Diego, United States 
Victor M. Petrogradsky; Ivan P. Shestakov; Efim Zelmanov. Nil graded self-similar algebras. Groups, geometry, and dynamics, Tome 4 (2010) no. 4, pp. 873-900. doi: 10.4171/ggd/112
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     title = {Nil graded self-similar algebras},
     journal = {Groups, geometry, and dynamics},
     pages = {873--900},
     year = {2010},
     volume = {4},
     number = {4},
     doi = {10.4171/ggd/112},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/112/}
}
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