Bimonoids for Hyperplane Arrangements

by Marcelo Aguiar and Swapneel Mahajan

The goal of this monograph is to develop Hopf theory in a new setting which features centrally a real hyperplane arrangement. The new theory is parallel to the classical theory of connected Hopf algebras, and relates to it when specialized to the braid arrangement. Joyal's theory of combinatorial species, ideas from Tits' theory of buildings, and Rota's work on incidence algebras inspire and find a common expression in this theory. The authors introduce...

• Format: Hardcover
• Language: English
• ISBN: 110849580X
• ISBN13: 9781108495806
• Release Date: April 2020
• Publisher: Cambridge University Press
• Length: 824 Pages
• Weight: 3.20 lbs.
• Dimensions: 1.7" x 6.4" x 9.3"