This monograph is aimed at graduate students and researchers in diverse areas of mathematics. It offers a new geometric perspective on the classical theory of connected graded Hopf algebras by extending it to the setting of real reflection arrangements. Discrete geometry, algebr…
"This monograph is aimed at graduate students and researchers in diverse areas of mathematics. It offers a new geometric perspective on the classical theory of connected graded Hopf algebras by extending it to the setting of real reflection arrangements. Discrete geometry, algeb…
"This monograph is aimed at graduate students and researchers in diverse areas of mathematics. It offers a new geometric perspective on the classical theory of connected graded Hopf algebras by extending it to the setting of real reflection arrangements. Discrete geometry, algeb…
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 notio…
"This monograph is aimed at graduate students and researchers in diverse areas of mathematics. It offers a new geometric perspective on the classical theory of connected graded Hopf algebras by extending it to the setting of real reflection arrangements. Discrete geometry, algeb…
by Aguiar, Marcelo, Mahajan, Swapneel
fromFields Institute Monographs
by Aguiar, Marcelo, Mahajan, Swapneel
fromFields Institute Monographs
An important idea in the work of G.C. Rota is that certain combinatorial objects give rise to Hopf algebras that reflect the manner in which these objects compose and decompose. This text presents a geometric approach using Coxeter complexes and the projection maps of Tits for c…
"This research monograph integrates ideas from category theory, algebra and combinatorics. It is organized in three parts. Part I belongs to the realm of category theory. It reviews some of the foundational work of Bňabou, Eilenberg, Kelly and Mac Lane on monoidal categories and…
