The theory of the (E) question

Content A physical and concrete context for the theory .................................................................................. 1 Entering in the domain of validity of the theory of the (E) question .................................................. 2 Definition 01: extended Lie’s product (or bracket) ......................................................................... 2 A statement and a guess ................................................................................................................. 2 Analyzing the coherence of the guess ............................................................................................. 3 Important precisions ....................................................................................................................... 4 The concept of determinant ........................................................................................................... 4 A better definition for extended Lie’s products .............................................................................. 5 A better definition of the trivial split for block matrices ................................................................. 5 “How can the initial theorem be applied to ELPs involving block matrices?” ................................ 6 Conclusion ....................................................................................................................................... 6 Annex: the initial theorem .............................................................................................................. 6 Bibliography ..................................................................................................................................... 9