Monday, January 24, 2022 11:30 am
-
11:30 am
EST (GMT -05:00)
Title: Minimal relations for an algebra inspired by algebraic graph theory
| Speaker: | Erika Pirnes |
| Affiliation: | University of Wisconsin-Madison |
| Zoom: | Contact Sabrina Lato |
Abstract:
The balanced algebra has two generators, R and L, and its defining relations are that any pair of balanced words commutes. For example, RL and LR are balanced (contain the same number of both generators), so in the balanced algebra, (RL)(LR)=(LR)(RL). The goal is to find a minimal set of relations. The problem is inspired by the Terwilliger algebra for a thin graph where the condition "balanced words commute" comes up.