Lie-Algebra Attention defines tokens as bare matrix Lie group elements and computes attention scores from the negative squared algebra norm of the relative pose log(g_i^{-1} g_j).
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Lecture notes on the Dressing Field Method for symmetry reduction, presenting a framework for invariant observables with examples from Chern-Simons theory, electromagnetism, Higgs model, supersymmetry, and general relativity.
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The Token Is a Group Element: On Lie-Algebra Attention over Matrix Lie Groups
Lie-Algebra Attention defines tokens as bare matrix Lie group elements and computes attention scores from the negative squared algebra norm of the relative pose log(g_i^{-1} g_j).
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Lecture Notes on Symmetry Reduction via the Dressing Field Method
Lecture notes on the Dressing Field Method for symmetry reduction, presenting a framework for invariant observables with examples from Chern-Simons theory, electromagnetism, Higgs model, supersymmetry, and general relativity.