Infinitesimal behaviour of groups and beyond
Résumé
Linearisation often allows one to get a satisfactory local approximation of a complicated equation of motion. In the same spirit, algebraic tools have been developed to locally approximate affine group schemes: their Lie algebras. In this document, we will introduce these algebraic objects and describe how good the local approximation they provide can be.
Domaines
Mathématiques [math]
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