Legion of Honour is headed by the Grand Chancellor, usually a retired general, and the Secretary General, a civilian administrator. The Grand Chancery also regulates the National Order of Merit and the ' (Military Medal). There are several structures funded by and operated under the authority of the Grand Chancery, like the Legion of Honour Schools (') and the Legion of Honour Museum ('). The Legion of Honour Schools are élite boarding schools in Saint-Denis and Les Loges in the forest of Saint-Germain-en-Laye. Study there is restricted to daughters, granddaughters, and great-granddaughters of members of the order, the ' or the ". There
Restricted Lie algebra Restricted Lie algebra In mathematics, a restricted Lie algebra is a Lie algebra together with an additional ""p" operation." Let "L" be a Lie algebra over a field "k" of characteristic "p>0". A "p" operation on "L" is a map formula_1 satisfying If the characteristic of "k" is 0, then "L" is a restricted Lie algebra where the "p" operation is the identity map. For any associative algebra "A" defined over a field of characteristic "p", the bracket operation formula_11 and "p" operation formula_12 make "A" into a restricted Lie algebra formula_13. Let "G" be an algebraic group over a