🤩MERVEILLEUX CLASSIQUE qui tombe tous les ans ! (L2/spé)

In this video, I tackle a classic math oral exam question on reduction, which appears every year in the Mines-Ponts, Mines-Télécom (IMT), CCINP, Centrale, and even École Polytechnique entrance exams. It involves endomorphisms satisfying fog-gof=a.f. We're talking about Lie brackets. 00:00 Introduction 01:16 Hard version of the problem 02:24 Soft version of the problem 03:15 Solution to question 1) 07:32 Solution to question 2) (beginning) 12:10 Solution to question 2) (end) 14:43 Variations of the problem statements (other exams) 16:37 And in infinite dimensions? (CHALLENGE 1) 17:55 Constructing the counterexample: the process 24:14 An explicit counterexample 26:09 CHALLENGE 2! 26:32 More brackets?