Articles liés à Coxeter Groups and Hopf Algebras

Coxeter Groups and Hopf Algebras - Couverture souple

Aguiar, Marcelo; Mahajan, Swapneel

 
9780821853542: Coxeter Groups and Hopf Algebras
Couverture souple
ISBN 10 : 0821853546 ISBN 13 : 9780821853542
Editeur : American Mathematical Society, 2012

Synopsis

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. Recent work has seen the emergence of several interesting Hopf algebras of this kind, which connect diverse subjects such as combinatorics, algebra, geometry, and theoretical physics. This monograph presents a novel geometric approach using Coxeter complexes and the projection maps of Tits for constructing and studying many of these objects as well as new ones. The first three chapters introduce the necessary background ideas making this work accessible to advanced graduate students. The later chapters culminate in a unified and conceptual construction of several Hopf algebras based on combinatorial objects which emerge naturally from the geometric viewpoint. This work lays a foundation and provides new insights for further development of the subject.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2012
Langue
anglais
ISBN 10 
0821853546
ISBN 13 
9780821853542
Reliure
Broché
Nombre de pages
181
Coordonnées du fabricant
non disponible
Personne responsable
non disponible