Graded Lie algebras of maximal class
A Caranti, S Mattarei, M Newman - Transactions of the American …, 1997 - ams.org
We study graded Lie algebras of maximal class over a field $\mathbf {F} $ of positive
characteristic $ p $. A. Shalev has constructed infinitely many pairwise non-isomorphic …
characteristic $ p $. A. Shalev has constructed infinitely many pairwise non-isomorphic …
[PDF][PDF] A historical review of the classifications of Lie algebras
L Boza, EM Fedriani, J Nunez… - Rev. Un. Mat. Argentina, 2013 - researchgate.net
The problem of Lie algebras' classification, in their different varieties, has been dealt with by
theory researchers since the early 20th century. This problem has an intrinsically infinite …
theory researchers since the early 20th century. This problem has an intrinsically infinite …
Graded Lie algebras of maximal class IV
A Caranti, MR Vaughan-Lee - arXiv preprint math/9907067, 1999 - arxiv.org
arXiv:math/9907067v1 [math.RA] 12 Jul 1999 Page 1 arXiv:math/9907067v1 [math.RA] 12 Jul
1999 GRADED LIE ALGEBRAS OF MAXIMAL CLASS IV A. CARANTI AND MR …
1999 GRADED LIE ALGEBRAS OF MAXIMAL CLASS IV A. CARANTI AND MR …
Lie Methods in the Theory of pro-p Groups
A Shalev - New horizons in pro-p groups, 2000 - Springer
The purpose of this chapter is to describe the use of Lie-theoretic methods in the study of pro-
p Groupss. I shall also discuss briefly some related objects, such as finite p-groups and …
p Groupss. I shall also discuss briefly some related objects, such as finite p-groups and …
Cohomology of graded Lie algebras of maximal class
A Fialowski, D Millionschikov - Journal of Algebra, 2006 - Elsevier
It was shown by A. Fialowski that an arbitrary infinite-dimensional N-graded “filiform type” Lie
algebra g=⊕ i= 1∞ gi with one-dimensional homogeneous components gi such that [g1 …
algebra g=⊕ i= 1∞ gi with one-dimensional homogeneous components gi such that [g1 …
Graded Lie algebras of maximal class, III
G Jurman - Journal of Algebra, 2005 - Elsevier
We describe the isomorphism classes of infinite-dimensional N-graded Lie algebras of
maximal class generated by their first homogeneous component over fields of characteristic …
maximal class generated by their first homogeneous component over fields of characteristic …
Naturally graded Lie algebras (Carnot algebras) of slow growth
DV Millionschikov - arXiv preprint arXiv:1705.07494, 2017 - arxiv.org
A nilpotent Lie algebra ${\mathfrak g} $ is said to be naturally graded if it is isomorphic to its
associated graded Lie algebra ${\rm gr}\mathfrak {g} $ with respect to filtration by ideals of …
associated graded Lie algebra ${\rm gr}\mathfrak {g} $ with respect to filtration by ideals of …
[PDF][PDF] Naturally graded Lie algebras of slow growth
DV Millionshchikov - Mat. Sb, 2019 - kezenoyam-conference.ru
In 1990 O. Mathieu proved V. Kac's conjecture (1968) that an infinite-dimensional Z-graded
simple Lie algebra g=⊕ i∈ Zgi of finite growth, ie dimgn≤ P (n), P (t)∈ R [t], is isomorphic to …
simple Lie algebra g=⊕ i∈ Zgi of finite growth, ie dimgn≤ P (n), P (t)∈ R [t], is isomorphic to …
Nil Lie p-algebras of slow growth
V Petrogradsky - Communications in Algebra, 2017 - Taylor & Francis
ABSTRACT The Grigorchuk and Gupta-Sidki groups play fundamental role in modern group
theory. They are natural examples of self-similar finitely generated periodic groups. The …
theory. They are natural examples of self-similar finitely generated periodic groups. The …
On varieties of Lie algebras of maximal class
T Barron, D Kerner, M Tvalavadze - Canadian Journal of …, 2015 - cambridge.org
On Varieties of Lie Algebras of Maximal Class Page 1 Canad. J. Math. Vol. 67 (1), 2015 pp.
55–89 http://dx.doi.org/10.4153/CJM-2014-008-x c Canadian Mathematical Society 2014 …
55–89 http://dx.doi.org/10.4153/CJM-2014-008-x c Canadian Mathematical Society 2014 …