The virtual cactus group and Littelmann paths
Representation Theory
2023-02-23 v1 Combinatorics
Abstract
We define a virtual cactus group and show that the cactus group action on Littelmann paths is compatible with the virtualization map defined by Pan-Scrimshaw \cite{PS18}. Our definition generalizes the group with the same name defined for the symplectic Lie algebra by the author in joint work with O. Azenhas and M. Tarighat-Feller.
Cite
@article{arxiv.2302.11560,
title = {The virtual cactus group and Littelmann paths},
author = {Jacinta Torres},
journal= {arXiv preprint arXiv:2302.11560},
year = {2023}
}
Comments
10 pages, comments welcome