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Categorification and Higher Representation Theory
Language: en
Pages: 376
Authors: Anna Beliakova
Categories: Mathematics
Type: BOOK - Published: 2017-02-21 - Publisher: American Mathematical Soc.

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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, r
Categorification in Geometry, Topology, and Physics
Language: en
Pages: 282
Authors: Anna Beliakova
Categories: Mathematics
Type: BOOK - Published: 2017-02-21 - Publisher: American Mathematical Soc.

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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, r
Knot Invariants and Higher Representation Theory
Language: en
Pages: 154
Authors: Ben Webster
Categories: Mathematics
Type: BOOK - Published: 2018-01-16 - Publisher: American Mathematical Soc.

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The author constructs knot invariants categorifying the quantum knot variants for all representations of quantum groups. He shows that these invariants coincide
Foundations of Categorified Representation Theory
Language: en
Pages: 124
Authors: Alexander Hoffnung
Categories: Group algebras
Type: BOOK - Published: 2010 - Publisher:

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This thesis develops the foundations of the program of groupoidification and presents an application of this program--the Fundamental Theorem of Hecke Operators
Extended Graphical Calculus for Categorified Quantum sl(2)
Language: en
Pages: 100
Authors: Mikhail Khovanov
Categories: Mathematics
Type: BOOK - Published: 2012 - Publisher: American Mathematical Soc.

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In an earlier paper, Aaron D. Lauda constructed a categorification of the Beilinson-Lusztig-MacPherson form of the quantum sl(2); here he, Khovanov, Marco Macka