Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

A note on quantum subgroups of free quantum groups

Mao Hoshino, Kan Kitamura

Abstract

In this short note, quantum subgroups in finite free products of the Pontryagin duals of free unitary quantum groups are classified. They correspond to pairs of a subgroup $Γ$ and a subset $S$ of the free group $\mathbb{F}_n$ such that $S$ is $Γ$-invariant, containing $Γ$, and connected in the Cayley graph of $\mathbb{F}_n$

A note on quantum subgroups of free quantum groups

Abstract

In this short note, quantum subgroups in finite free products of the Pontryagin duals of free unitary quantum groups are classified. They correspond to pairs of a subgroup and a subset of the free group such that is -invariant, containing , and connected in the Cayley graph of
Paper Structure (2 sections, 4 equations)

This paper contains 2 sections, 4 equations.

Table of Contents

  1. Introduction
  2. Classification

Theorems & Definitions (2)

  • Remark
  • proof