11 citations · 54 across the 23 of their papers we have counts for
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Topological Properties of Almost Abelian Groups
Zhirayr Avetisyan, Oderico-Benjamin Buran, Andrew Paul +1
An almost Abelian Lie group is a non-Abelian Lie group with a codimension 1 Abelian subgroup. We show that all discrete subgroups of complex simply connected almost Abelian groups…
Almost Abelian Lie groups, subgroups and quotients
Marcelo Almora Rios, Zhirayr Avetisyan, Katalin Berlow +5
An almost Abelian Lie group is a non-Abelian Lie group with a codimension 1 Abelian normal subgroup. The majority of 3-dimensional real Lie groups are almost Abelian, and they appe…
Jordanable almost Abelian Lie algebras
Zhirayr Avetisyan
We call a linear operator on a vector space over a field Jordanable if it has a Jordan canonical form. An almost Abelian Lie algebra has only one non-vanishing Lie bracket, which i…
The structure of almost Abelian Lie algebras
Zhirayr Avetisyan
An almost Abelian Lie algebra is a non-Abelian Lie algebra with a codimension 1 Abelian ideal. Most 3-dimensional real Lie algebras are almost Abelian, and they appear in every bra…