Coxeter Groups and Hopf Algebras |
|
| Author:
| Aguiar, Marcelo
Mahajan, Swapneel |
| Series title: | Fields Institute Monographs |
| ISBN: | 978-0-8218-5354-2 |
| Publication Date: | Aug 2012 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | AUD $94.00 |
Book Description:
|
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.
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.