Coxeter Bialgebras

by Marcelo Aguiar and Swapneel Mahajan

The goal of this monograph is to develop Hopf theory in the setting of a real reflection arrangement. The central notion is that of a Coxeter bialgebra which generalizes the classical notion of a connected graded Hopf algebra. The authors also introduce the more structured notion of a Coxeter bimonoid and connect the two notions via a family of functors called Fock functors. These generalize similar functors connecting Hopf monoids in the category...

• Format: Hardcover
• Language: English
• ISBN: 1009243772
• ISBN13: 9781009243773
• Release Date: January 2023
• Publisher: Cambridge University Press
• Length: 894 Pages
• Weight: 3.45 lbs.
• Dimensions: 1.9" x 6.1" x 9.3"