Categorification and higher representation theory /

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The emergent mathematical philosophy of categorification is reshaping our view of modern mathematics by uncovering a hidden layer of structure in mathematics, revealing richer and more robust structures capable of describing more complex phenomena. Categorified representation theory, or higher repre...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Beliakova, Anna, 1968- (Editor ), Lauda, Aaron, 1981- (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [2017]
Colección:Contemporary mathematics (American Mathematical Society) ; v. 683.
Temas:
Categories (Mathematics)
Mathematical analysis.
Algebra.
Catégories (Mathématiques)
Analyse mathématique.
Algèbre.
algebra.
MATHEMATICS > Algebra > Intermediate.
Algebra
Mathematical analysis
Quantum theory > Groups and algebras in quantum theory > Quantum groups and related algebraic methods.
Nonassociative rings and algebras > Lie algebras and Lie superalgebras > Representations, algebraic theory (weights)
Group theory and generalizations > Representation theory of groups > Hecke algebras and their representations.
Algebraic geometry > (Colo.)homology theory > Sheaves, derived categories of sheaves and related constructions.
Category theory; homological algebra > Categories with structure > Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories.
Nonassociative rings and algebras > Lie algebras and Lie superalgebras > Modular Lie (super)algebras.
Nonassociative rings and algebras > Lie algebras and Lie superalgebras > Homological methods in Lie (super)algebras.
Nonassociative rings and algebras > Lie algebras and Lie superalgebras > Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras.
Acceso en línea:Texto completo
Descripción
Sumario:The emergent mathematical philosophy of categorification is reshaping our view of modern mathematics by uncovering a hidden layer of structure in mathematics, revealing richer and more robust structures capable of describing more complex phenomena. Categorified representation theory, or higher representation theory, aims to understand a new level of structure present in representation theory. Rather than studying actions of algebras on vector spaces where algebra elements act by linear endomorphisms of the vector space, higher representation theory describes the structure present when algebras.
Descripción Física:1 online resource (x, 361 pages) : illustrations
Bibliografía:Includes bibliographical references.
ISBN:1470436892
9781470436896
ISSN:0271-4132

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