Algebra

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Contents

• Common Four-Sector Decomposition
• Covariant Commutator Factorization
• Double Orthogonal Complement and Closure
• Finite-Layer Projection Escape
• Future Words and Orthogonal Residuals
• Orthogonal De Morgan Identities
• Orthogonal Projections onto Complementary Subspaces
• Quotient Contraction Rigidity
• Quotient and Orthogonal Complement
• The Center of a Record-Block Algebra
• Finite-State Read Covariance
• No Unitary-Natural Orthogonal Selector
• Weyl Displacement Words over a Finite Cyclic Window
• The Adjoint of a Weyl Displacement Word
• Conjugation of Weyl Displacement Words
• Powers of Weyl Displacement Words
• Trace Pairings for Weyl Displacement Words
• Two-Torsion Weyl Displacement Identities
• Arithmetic of the Weyl Window Root