Solutions of n-simplex Equation from Solutions of Braid Group Representation

TL;DR

This paper demonstrates how solutions to the n-simplex equation can be derived from braid group representations and explores the symmetries within these solutions.

Contribution

It introduces a method to generate n-simplex solutions from braid group representations and analyzes their symmetries.

Findings

Solutions of n-simplex equation derived from braid group representations

Discussion of symmetries in the solution space

Provides a new approach to n-simplex equations

Abstract

It is shown that a kind of solutions of n-simplex equation can be obtained from representations of braid group. The symmetries in its solution space are also discussed.