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Add tetrahedral discrete SE3 group - #51

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franciscoeacosta merged 2 commits into
mainfrom
split/tetrahedral-se3-group
Aug 20, 2026
Merged

Add tetrahedral discrete SE3 group#51
franciscoeacosta merged 2 commits into
mainfrom
split/tetrahedral-se3-group

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Summary

  • implement the finite group $\mathbb{Z}_n^3 \rtimes A_4$
  • construct lazy induced irreducible representations from translation-character orbits and little groups
  • add focused tests for group laws, representation completeness, Fourier transforms, and conjugate pairs

Test plan

  • pytest test/test_discrete_se3_a4_irreps.py -q
  • ruff check on changed Python files
  • ruff format --check on changed Python files

Made with Cursor

franciscoeacosta and others added 2 commits August 10, 2026 17:38
Implement Z_n^3 semidirect A4 with lazy induced irreducible representations and focused algebraic and Fourier tests.

Co-authored-by: Cursor <cursoragent@cursor.com>
Bring the repaired formatter and notebook test baseline into this focused branch.

Co-authored-by: Cursor <cursoragent@cursor.com>
@franciscoeacosta
franciscoeacosta merged commit fb8f27d into main Aug 20, 2026
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@franciscoeacosta
franciscoeacosta deleted the split/tetrahedral-se3-group branch August 20, 2026 18:42
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