What are the finite dimensional indecomposable representations of the special Euclidean group in three-dimensions, SE(3)? To clarify, I'm asking about the group $$SE(3) = \left\{ \begin{pmatrix} R&x \\ 0&1 \end{pmatrix} \left|R\in SO(3), x\in\mathbb{R}^3\right.\right\}$$ which is the group of translations and rotations of three-dimensional Euclidean space.
2026-04-24 08:12:16.1777018336
Finite representations of the Euclidean Group
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