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Categorification and higher representation theory

Author: Anna Beliakova; Aaron Lauda
Publisher: Providence, Rhode Island : American Mathematical Society, [2017]
Series: Contemporary mathematics (American Mathematical Society), v. 683.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Anna Beliakova; Aaron Lauda
ISBN: 9781470436896 1470436892
OCLC Number: 980263020
Description: 1 online resource (x, 361 pages) : illustrations.
Contents: 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.
Series Title: Contemporary mathematics (American Mathematical Society), v. 683.
Other Titles: Categorification
Responsibility: Anna Beliakova, Aaron D. Lauda, editors.

Abstract:

Presents some of the current trends in higher representation theory and the diverse techniques that are being employed in this field with the aim of showcasing the many applications of higher  Read more...

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