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Coxeter Bialgebras Marcelo Aguiar Swapneel Mahajan

Name: Coxeter Bialgebras Marcelo Aguiar Swapneel Mahajan
SKU: BELL-47136432
Price: 31.00 USD
Availability: InStock
Rating: 4.8 (24 reviews)

SKU: BELL-47136432

$ 31.00 ~~$ 45.00~~ (-31%)

4.8

24 reviews

Coxeter Bialgebras Marcelo Aguiar Swapneel Mahajan instant download after payment.

Publisher: Cambridge University Press

File Extension: PDF

File size: 8.73 MB

Pages: 895

Author: Marcelo Aguiar, Swapneel Mahajan

ISBN: 9781009243773, 1009243772

Language: English

Year: 2022

Product desciption

Coxeter Bialgebras Marcelo Aguiar Swapneel Mahajan by Marcelo Aguiar, Swapneel Mahajan 9781009243773, 1009243772 instant download after payment.

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 notion of a Coxeter bimonoid and connect the two notions via a family of functors called Fock functors. These generalize similar functors connecting Hopf monoids in the category of Joyal species and connected graded Hopf algebras. This monograph opens a new chapter in Coxeter theory as well as in Hopf theory, connecting the two. It also relates fruitfully to many other areas of mathematics such as discrete geometry, semigroup theory, associative algebras, algebraic Lie theory, operads, and category theory. It is carefully written, with effective use of tables, diagrams, pictures, and summaries. It will be of interest to students and researchers alike.