Bimonoids for Hyperplane Arrangements free ebook download.

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Bimonoids for Hyperplane Arrangements free ebook download

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Mathematics

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Author(s):	Bimonoids for Hyperplane Arrangements

Date:	2020	Format:	PDF	Language:	English	ISBN/ASIN:	110849580X
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	alex21s	Upload Date:	3/5/2020 10:29:48 PM

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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 BorelHopf, PoincarBirkhoffWitt, and CartierMilnorMoore 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.

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	Title	Link	Password	Size (MB)	Thank to	Inform Admin
2717481	Book	https://k2s.cc/file/f4dd5871b7c0b...		13.00	alex21s

Tags: Arrangements Hyperplane

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