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A von Neumann Algebra Approach to Quantum Metrics/Quantum Relations
Language: en
Pages: 153
Authors: Greg Kuperberg
Categories: Mathematics
Type: BOOK - Published: 2012 - Publisher: American Mathematical Soc.

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In A von Neumann Algebra Approach to Quantum Metrics, Kuperberg and Weaver propose a new definition of quantum metric spaces, or W*-metric spaces, in the settin
A Von Neumann Algebra Approach to Quantum Metrics
Language: en
Pages: 140
Authors: Greg Kuperberg
Categories: Metric spaces
Type: BOOK - Published: 2012 - Publisher:

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We define a "quantum relation" on a von Neumann algebra M⊆B(H) to be a weak* closed operator bimodule over its commutant M′. Although this definition is fra
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
Dimer Models and Calabi-Yau Algebras
Language: en
Pages: 101
Authors: Nathan Broomhead
Categories: Mathematics
Type: BOOK - Published: 2012-01-23 - Publisher: American Mathematical Soc.

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In this article the author uses techniques from algebraic geometry and homological algebra, together with ideas from string theory to construct a class of 3-dim
Hopf Algebras and Congruence Subgroups
Language: en
Pages: 146
Authors: Yorck Sommerhäuser
Categories: Mathematics
Type: BOOK - Published: 2012 - Publisher: American Mathematical Soc.

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We prove that the kernel of the action of the modular group on the center of a semisimple factorizable Hopf algebra is a congruence subgroup whenever this actio