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Cambridge University Press Cambridge Bimonoids for Hyperplane Arrangements - Math Book

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Description

Explore advanced algebraic structures with Bimonoids for Hyperplane Arrangements from Cambridge University Press. This monograph develops Hopf theory within a new setting centered on a real hyperplane arrangement. The theory runs parallel to the classical theory of connected Hopf algebras and relates to it when specialized to the braid arrangement. Drawing inspiration from Joyal's theory of combinatorial species, Tits' theory of buildings, and Rota's work on incidence algebras, this text provides a common expression for these mathematical ideas. The authors introduce essential notions including monoid, comonoid, bimonoid, and Lie monoid relative to a fixed hyperplane arrangement, while also constructing universal bimonoids.

Key Features

Developed by Cambridge University Press as part of the Encyclopedia of Mathematics and its Applications series.

Provides a new setting for Hopf theory centered on real hyperplane arrangements.

Relates new theoretical developments to the classical theory of connected Hopf algebras.

Integrates concepts from Joyal's combinatorial species and Tits' theory of buildings.

Introduces specific mathematical notions such as monoid, comonoid, bimonoid, and Lie monoid.

Includes the construction of universal bimonoids relative to a fixed hyperplane arrangement.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
31 March 2020
Listed Since
04 October 2019

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