Bimonoids for Hyperplane Arrangements

Released on by Marcelo Aguiar
preview-18

  • Bimonoids for Hyperplane Arrangements Book Detail

  • Author : Marcelo Aguiar
  • Release Date : 2020-03-19
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 854
  • ISBN 13 : 1108852785
  • File Size : 53,53 MB
DOWNLOAD BOOK

Bimonoids for Hyperplane Arrangements by Marcelo Aguiar PDF Summary

Book Description: The goal of this monograph is to develop Hopf theory in a new setting which features centrally a real hyperplane arrangement. The new theory is parallel to the classical theory of connected Hopf algebras, and relates to it when specialized to the braid arrangement. Joyal's theory of combinatorial species, ideas from Tits' theory of buildings, and Rota's work on incidence algebras inspire and find a common expression in this theory. The authors introduce notions of monoid, comonoid, bimonoid, and Lie monoid relative to a fixed hyperplane arrangement. They also construct universal bimonoids by using generalizations of the classical notions of shuffle and quasishuffle, and establish the Borel–Hopf, Poincaré–Birkhoff–Witt, and Cartier–Milnor–Moore theorems in this setting. This monograph opens a vast new area of research. It will be of interest to students and researchers working in the areas of hyperplane arrangements, semigroup theory, Hopf algebras, algebraic Lie theory, operads, and category theory.

Disclaimer: www.yourbookbest.com does not own Bimonoids for Hyperplane Arrangements books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Bimonoids for Hyperplane Arrangements

Bimonoids for Hyperplane Arrangements

File Size : 32,32 MB
Total View : 3223 Views
DOWNLOAD

The goal of this monograph is to develop Hopf theory in a new setting which features centrally a real hyperplane arrangement. The new theory is parallel to the

Bimonoids for Hyperplane Arrangements

Bimonoids for Hyperplane Arrangements

File Size : 40,40 MB
Total View : 6530 Views
DOWNLOAD

The goal of this monograph is to develop Hopf theory in a new setting which features centrally a real hyperplane arrangement. The new theory is parallel to the

Coxeter Bialgebras

Coxeter Bialgebras

File Size : 38,38 MB
Total View : 4021 Views
DOWNLOAD

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 ge

Quasi-Hopf Algebras

Quasi-Hopf Algebras

File Size : 39,39 MB
Total View : 4070 Views
DOWNLOAD

This self-contained book dedicated to Drinfeld's quasi-Hopf algebras takes the reader from the basics to the state of the art.

Basic Category Theory

Basic Category Theory

File Size : 35,35 MB
Total View : 7089 Views
DOWNLOAD

A short introduction ideal for students learning category theory for the first time.