Low-dimensional vector distributions of infinite type
Trudy Instituta matematiki, Tome 19 (2011) no. 2, pp. 91-102
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The paper provides the explicit description of all fundamental Lie algebras $\mathfrak m$ of infinite type with $\dim\mathfrak m_{-1}\le3$ over an arbitrary field $K$ of characteristic $0$. All such Lie algebras $\mathfrak m$ are represented as special extensions of fundamental Lie algebras of lower dimension by means of a commutative ideal.
@article{TIMB_2011_19_2_a10,
author = {O. Yu. Radko},
title = {Low-dimensional vector distributions of infinite type},
journal = {Trudy Instituta matematiki},
pages = {91--102},
publisher = {mathdoc},
volume = {19},
number = {2},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMB_2011_19_2_a10/}
}
O. Yu. Radko. Low-dimensional vector distributions of infinite type. Trudy Instituta matematiki, Tome 19 (2011) no. 2, pp. 91-102. http://geodesic.mathdoc.fr/item/TIMB_2011_19_2_a10/