# Extensions of the Heisenberg group by two-parameter groups of dilations

26 Apr 2018 Schulz Eckart Seesanea Adisak

We introduce extensions of the multidimensional Heisenberg group $\mathbb{H}^n$ by two-parameter groups of dilations, and then classify the extended groups up to isomorphism, by employing Lie algebra techniques. We show that the groups are isomorphic to subgroups of the symplectic group $\textit{Sp(}n+1,\mathbb{R})$ as well as subgroups of the affine group $\textit{Aff}(n+1,\mathbb{R})$... (read more)

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# Categories

• REPRESENTATION THEORY
• GROUP THEORY