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JOURNALS // Proceedings of the Institute of Mathematics of the NAS of Belarus // Archive

Tr. Inst. Mat., 2011 Volume 19, Number 2, Pages 91–102 (Mi timb155)

This article is cited in 1 paper

Low-dimensional vector distributions of infinite type

O. Yu. Radko

Institute of Mathematics of the National Academy of Sciences of Belarus

Abstract: 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.

UDC: 512.818.4, 514.763.8

Received: 28.06.2011



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