Coxeter Bialgebras

Marcelo Aguiar, Swapneel Mahajan

$245.95

Hardback

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English

Cambridge University Press
17 November 2022

Algebra; Combinatorics & graph theory

Series: Encyclopedia of Mathematics and its Applications

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.

By: Marcelo Aguiar, Swapneel Mahajan
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 241mm, Width: 160mm, Spine: 46mm
Weight: 1.590kg
ISBN: 9781009243773
ISBN 10: 1009243772
Series: Encyclopedia of Mathematics and its Applications
Pages: 894
Publication Date: 17 November 2022
Audience: General/trade , ELT Advanced
Format: Hardback
Publisher's Status: Active

Marcelo Aguiar is Professor in the Department of Mathematics at Cornell University, Ithaca. Swapneel Mahajan is Associate Professor in the Department of Mathematics at the Indian Institute of Technology, Mumbai.

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Coxeter Bialgebras

Marcelo Aguiar, Swapneel Mahajan

$245.95

Hardback

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