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Species and Hyperplane Arrangements by Jose Dario Bastidas Olaya is a nonfiction available to read on EtoBox.

What is Species and Hyperplane Arrangements about?

Contents List of Figures Introduction Preliminaries Polyhedral geometry Polytopes (Unbounded) Polyhedra Hyperplane arrangements Faces, flats and characteristic polynomial The Tits semigroup The braid arrangement The type B Coxeter arrangement Hopf monoids in the category of Species Hopf monoids in a nutshell Series and characters From Hopf monoids to modules Hopf monoids on linearly ordered sets Characteristic elements for real hyperplane arrangements The Tits algebra Characteristic elements Definition and basic properties Relation to the characteristic polynomial Functoriality First applications The fundamental recursion for the characteristic polynomial An identity of Crapo The characteristic polynomial on a product. An identity of Kung Characteristic elements of parameters 1 The unit element The Takeuchi element Application: Zaslavsky's formulas The Adams elements Braid arrangement Type B Coxeter arrangement Graphic arrangement Coordinate arrangement Characteristic elements and valuations Main construction: Intrinsic elements Generalization to Cone angles Proof of t:unit-affine Deformations of a linear arrangement and exponential sequences The action of a central arrangement on

Who reads Species and Hyperplane Arrangements?

Author

Jose Dario Bastidas Olaya

Published

2021

Language

EN

Category

nonfiction

Subjects

Education, Mathematics, Theses Abstracts