"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…
The book deals with fundamental structural aspects of algebraic and simple groups, Coxeter groups and the related geometries and buildings. All contributing authors are very active researchers in the topics related to the theme of the book. Some of the articles provide the lates…
Coxeter groups and Hopf algebras
by Aguiar, Marcelo, Mahajan, Swapneel
fromFields Institute Monographs
Coxeter groups and Hopf algebras
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 book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics."--Provided by publisher Introduction -- The octahedra…
"This book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics."--Provided by publisher
"This book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics."--Résumé de l'éditeur.