Bimonoids for Hyperplane Arrangements

Marcelo Aguiar, Swapneel Mahajan

$330

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Cambridge University Press
19 March 2020

Discrete mathematics; Algebra; Groups & group theory; Combinatorics & graph theory

Series: Encyclopedia of Mathematics and its Applications

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.

By: Marcelo Aguiar, Swapneel Mahajan
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 240mm, Width: 160mm, Spine: 42mm
Weight: 1.490kg
ISBN: 9781108495806
ISBN 10: 110849580X
Series: Encyclopedia of Mathematics and its Applications
Pages: 824
Publication Date: 19 March 2020
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active

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

SALE ON NOW! PROMOTIONS

Bimonoids for Hyperplane Arrangements

Marcelo Aguiar, Swapneel Mahajan

$330

Hardback

See Also

Contact Abbeys

Contact Galaxy

Contact Language

Contact Us

About ABBEY'S