The Lie algebra associated with the lower central series of a right-angled Coxeter group
Speaker:
Yakov Veryovkin, NRU Higher School of Economics and Steklov Mathematical Institute of RAS
Date and Time:
Monday, August 19, 2024 - 2:35pm to 3:05pm
Location:
Fields Institute, Room 230
Abstract:
We study the lower central series of a right-angled Coxeter group $RC_{K}$ and the associated Lie algebra $L(RC_{K})$. The latter is related to the graph Lie algebra $L_{K}$. We give an explicit combinatorial description of the first three consecutive factors of the lower central series of the group $RC_{K}$.
This work was supported by the Russian Science Foundation under grant no. 23-11-00143, https://rscf.ru/en/project/23-11-00143/.
