16 citations · 34 across the 13 of their papers we have counts for
5 papers · 1 filter
On the graded quotients of the $\mathrm{SL}(m,\C)$-representation algebras of groups
Takao Satoh
In this paper, we consider certain descending filtrations of the $\mathrm{SL}(m,\C)$-representation algebras of free groups and free abelian groups. By using it, we introduce analo…
On the low dimensional cohomology groups of the IA-automorphism group of a free group of rank three
Takao Satoh
In this paper we study the structure of the rational cohomology groups of the IA-automorphism group of a free group of rank three by using combinatorial group theor…
On the rings of Fricke characters of free abelian groups
Eri Hatakenaka, Takao Satoh
In this paper, we study the structure of the rings of Fricke characters of free abelian groups. More precisely, we consider a descending filtration of ideals in the ring, and give…
On the graded quotients of the ring of Fricke characters of a free group
Eri Hatakenaka, Takao Satoh
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, w…
On the derivation algebra of the free Lie algebra and trace maps
Naoya Enomoto, Takao Satoh
We calculate the irreducible decomposition of the images of the Johnson homomorphisms of the automorphism group of a free group and a free metabelian group. We determine the abelia…