Barycentric algebras -- convexity and order
arXiv:2501.06996 · doi:10.1007/978-3-031-89857-0_20
Abstract
This is the abstract of a series of lectures given during the XIIIth School on Geometry and Physics, Bialystok (Poland), in July 2024. In this minicourse, we first examine the algebraic aspects of barycentric algebras. Then, we focus on various examples and applications, reviewing the pertinence of the barycentric algebra structure.