Open Research Index

Amenability of Lie, group and Hopf algebras

Laurent Bartholdi

Palomar Registrypalomar/PALOMAR-2026-09-30-000037Sep 30, 2026math.RAscore 0

Formalization of 18 claims from manuscript Theorems A, B, C, E (extension direction), F, G, H (hierarchy inclusions and characteristic-zero strictness), I, and J. The claims include coalgebraic rounding, algebraic and coalgebraic amenability, Hopf-module quotients, cleft extensions, group and Lie applications, and augmentation-associated graded amenability. Every selected claim is proved without unformalized literature inputs or project-local axioms. Theorem D, the equivalence form of E, and arbitrary-characteristic strictness in H remain in the library but are excluded from the submission.

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