Marcelo Aguiar – författare
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10 produkter
Monoidal Functors, Species and Hopf Algebras
Av Marcelo Aguiar, Swapneel Mahajan
Inbunden, 2010
2117 kr
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This research monograph integrates ideas from category theory, algebra and combinatorics. It is organised in three parts. Part I belongs to the realm of category theory. It reviews some of the foundational work of Bénabou, Eilenberg, Kelly and Mac Lane on monoidal categories and of Joyal and Street …
Coxeter Groups and Hopf Algebras
Av Marcelo Aguiar, Swapneel Mahajan
Häftad, 2012
851 kr
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An important idea in the work of G.-C. Rota is that certain combinatorial objects give rise to Hopf algebras that reflect the manner in which these objects compose and decompose. Recent work has seen the emergence of several interesting Hopf algebras of this kind, which connect diverse subjects …
Coxeter Bialgebras
Av Swapneel Mahajan, Marcelo Aguiar
E-bok, 2022
2314 kr
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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 generalizes the classical notion of a connected graded Hopf algebra. The authors also introduce the more structured notion of a Coxeter …
Coxeter Bialgebras
Av Marcelo Aguiar, Swapneel Mahajan
Inbunden, 2022
2032 kr
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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 generalizes the classical notion of a connected graded Hopf algebra. The authors also introduce the more structured notion of a Coxeter …
Bimonoids for Hyperplane Arrangements
Av Marcelo Aguiar, Swapneel Mahajan
Inbunden, 2020
3046 kr
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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 …
Bimonoids for Hyperplane Arrangements
Av Swapneel Mahajan, Marcelo Aguiar
E-bok, 2020
3031 kr
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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 …
Topics in Hyperplane Arrangements
Av Marcelo Aguiar, Swapneel Mahajan
Inbunden, 2017
2033 kr
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This monograph studies the interplay between various algebraic, geometric and combinatorial aspects of real hyperplane arrangements. It provides a careful, organized and unified treatment of several recent developments in the field, and brings forth many new ideas and results. It has two parts, …
Hopf Monoids and Generalized Permutahedra
Av Marcelo Aguiar, Federico Ardila
Häftad, 2023
1034 kr
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Generalized permutahedra are polytopes that arise in combinatorics, algebraic geometry, representation theory, topology, and optimization. They possess a rich combinatorial structure. Out of this structure we build a Hopf monoid in the category of species.Species provide a unifying framework for …
O espinho na carne e a graça de Deus
Como as piores circunstâncias podem ser usadas para o nosso bem
Häftad, 2021
156 kr
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