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On the graded quotients of the ring of Fricke characters of a free group
Ring of Fricke characters Automorphism groups of free groups Andreadakis-Johnson filtration
2012/6/27
First, we study a descending filtration of the ring of Fricke characters of a free group consisting of ideals on which the automorphism group of a free group acts. Then using it, we define a descendin...
Nonfree Actions of Countable Groups and their Characters
Nonfree actions lattice of subgroups characters factor representa-tions
2011/2/24
We introduce a number of definitions of nonfree actions of groups. The most important of them is that of a totally nonfree action; it is naturally related to the theory of characters of groups and the...
Supercuspidal characters of $\operatorname{SL}_2$ over a $p$-adic field
p-adic group character formula supercuspidal representation
2011/2/28
The character formulas of [42] are an early triumph in p-adic har-monic analysis, but, to date, the calculations underlying the formulas have not been available.