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Diagonalizing bases on Lie groups #46

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mateuszbaran opened this issue Oct 29, 2024 · 1 comment
Open

Diagonalizing bases on Lie groups #46

mateuszbaran opened this issue Oct 29, 2024 · 1 comment
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enhancement New feature or request good first issue Good for newcomers

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@mateuszbaran
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I've got side-tracked a bit with differentials of exp on Lie groups and it looks like it's not too complicated to work out. For specific groups used in applications it's possible to just use symbolic computation on matrices like here: https://gist.github.com/mateuszbaran/9b0e65b23afc23146850595d27a913dc, which shows how to do it for SO(3). In principle we could do it for any matrix Lie group.
@mateuszbaran mateuszbaran added enhancement New feature or request good first issue Good for newcomers labels Oct 29, 2024
@mateuszbaran
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For SO(3) it's nothing new but for more complicated Lie groups it's not easy to derive these formulas.

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