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
Tabla de Contenidos:
  • Rational Cherednik algebras and categorification / Ivan Losey
  • Categorical actions on unipotent representations of finite classical groups / Olivier Dudas, Michela Varagnolo, Eric Vasserot
  • Categorical actions and crystals / Jonathan Brundan, Nicholas Davidson
  • On the 2-linearity of the free group / Anthony M. Licata
  • The Blanchet-Khovanov algebras / Michael Ehrig, Catharina Stroppel, Daniel Tubbenhauer
  • Generic character sheaves on groups over k[E]/(E[superscript}r) / G. Lusztig
  • Integral presentations of quantum lattice Heisenberg algebras / Diego Berdeja Suárez
  • Categorification at prime roots of unity and hopfological finiteness / You Qi, Joshua Sussan
  • Folding with Soergel bimodules / Ben Ellias
  • The p-canonical basis for Hecke algebras / Lars Thors Jensen, Geordie Williamson.

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