Blog Archive

Tuesday, April 28, 2026

Lie Algebra, Algebraic Group, Lie Group

Notes 

Lie Algebras and Basic examples

Why the Universal Enveloping Algebra–Commutator Adjunction Exists

The Category of Finite-Dimensional Lie Algebras Enriched over Aff_k: Hom-schemes, automorphism group schemes, and derivations as infinitesimal symmetries

Finite-Dimensional PROP Models Enriched over Aff_k: From monoidal naturality to derivations

The Lie Algebra of a Non-representable Aut

Affine Geometry of Monoidal Functor Categories

Smooth Functor of Points I: Tangent Spaces via Dual Numbers

Smooth Functor of Points II: Lie Algebras as Infinitesimal Kernels

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