Unitriangular matrix group:UT(3,R)

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This article is about a particular group, i.e., a group unique upto isomorphism. View specific information (such as linear representation theory, subgroup structure) about this group
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Definition

This group is defined as the unitriangular matrix group of degree three over the field of real numbers. Explicitly, it is the following group of matrices under multiplication:

\left \{ \begin{pmatrix} 1 & a & b \\ 0 & 1 & c \\ 0 & 0 & 1 \\\end{pmatrix} \mid a,b,c \in \R \right \}

This group is also sometimes called the continuous Heisenberg group or real Heisenberg group.

Structures