Mai Katada

activity

20212026

most citedActions of automorphism groups of free groups on spaces of Jacobi diagrams. II

2 citations · 2 across the 1 of their papers we have counts for

collaborators

4 papers

math.FA2026

A family of generalized Gelfand pairs attached to $3$ -step nilpotent Lie groups

Mai Katada, Cornelie Mitcha Malanda

It is well known that if $(K ⋉ N, K)$ is a Gelfand pair with $N$ a nilpotent Lie group and $K$ a compact subgroup of the automorphism group of $N$ , then $N$ is at most $2$ -ste…

math.AT2024

The stable Albanese homology of the IA-automorphism groups of free groups

Mai Katada

The IA-automorphism group $IA_{n}$ of the free group $F_{n}$ of rank $n$ is a normal subgroup of the automorphism group $Aut (F_{n})$ of $F_{n}$ . We study the…

math.GT2021★ 2 cited

Actions of automorphism groups of free groups on spaces of Jacobi diagrams. II

Mai Katada

The automorphism group $Aut (F_{n})$ of the free group $F_{n}$ acts on a space $A_{d} (n)$ of Jacobi diagrams of degree $d$ on $n$ oriented arcs. We study the $\operatorname…

math.QA2021

Actions of automorphism groups of free groups on spaces of Jacobi diagrams. I

Mai Katada

We consider an action of the automorphism group $Aut (F_{n})$ of the free group $F_{n}$ of rank $n$ on the filtered vector space $A_{d} (n)$ of Jacobi diagrams of degree $d$ on $n…

A family of generalized Gelfand pairs attached to 3-step nilpotent Lie groups

The stable Albanese homology of the IA-automorphism groups of free groups

Actions of automorphism groups of free groups on spaces of Jacobi diagrams. II

Actions of automorphism groups of free groups on spaces of Jacobi diagrams. I

A family of generalized Gelfand pairs attached to $3$ -step nilpotent Lie groups