16 citations · 34 across the 13 of their papers we have counts for
13 papers
On the abelianization of the special derivation Lie algebras of free Lie algebras
Naoya Enomoto, Takao Satoh
In this paper, we show that there are infinitely many linearly independent elements in the abelianization of the Lie algebra of special derivations of a free Lie algebra by using t…
On the structures of the Johnson cokernels of the basis-conjugating automorphism groups of free groups
Naoya Enomoto, Takao Satoh
In this paper, we study the Johnson homomorphisms of basis-conjugating automorphism groups of free groups. We construct obstructions for the surjectivity of the Johnson homomorphis…
A comparison of classes in the Johnson cokernels of the mapping class groups of surfaces
Naoya Enomoto, Yusuke Kuno, Takao Satoh
In [ES2], the first and the third authors introduced new classes in the Johnson cokernels of the mapping class groups of surfaces by a representation theoretic approach based on so…
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…