100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Jacques Darné

The Lie ring of congruence groups
Mercredi, 10 Octobre, 2018 - 17:00
Résumé : 

Congruence groups are matrix groups with integral coefficients. As any group, they are filtered by their lower central series, and the graded abelian groups associated to these filtrations are Lie rings (that is, Lie algebras over $\mathbb Z$). Using classical results by Bass, Milnor and Serre, we can give an explicit calculation of these Lie rings, which turn out to be matrix Lie algebras over $\mathbb F_p[t]$.

Thème de recherche : 
Compréhensible
Salle : 
Room 04
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