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Theses

Systèmes de racines infinis

Abstract : The aim of this work is to create sets of axioms of root systems that are general enough to include Kac-Moody algebras'ones, anbd also the systems that appear in the generalization by Borcherds of these algebras or in their almost K-split forms. In this abstract theory, we prove the basic theorems (essential to make the theory useful) which deal with the problems of subroot systems, conjugacy, changing fields and quotient root systems (which appear in the study of almost K-split forms).
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https://hal.univ-lorraine.fr/tel-01747508
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Nicole Bardy-Panse. Systèmes de racines infinis. Mathématiques générales [math.GM]. Université Henri Poincaré - Nancy 1, 1993. Français. ⟨NNT : 1993NAN10003⟩. ⟨tel-01747508⟩

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