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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
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
Dualizable Tensor Categories
Language: en
Pages: 88
Authors: Christopher L. Douglas
Categories: Education
Type: BOOK - Published: 2021-06-18 - Publisher: American Mathematical Soc.

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We investigate the relationship between the algebra of tensor categories and the topology of framed 3-manifolds. On the one hand, tensor categories with cer-tai
Frobenius Algebras and 2-D Topological Quantum Field Theories
Language: en
Pages: 260
Authors: Joachim Kock
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: Cambridge University Press

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This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Fro
Introduction to Quantum Groups
Language: en
Pages: 361
Authors: George Lusztig
Categories: Mathematics
Type: BOOK - Published: 2010-10-27 - Publisher: Springer Science & Business Media

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The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo in 1985, or variations thereof. The theory of q