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The Witt group of non-degenerate braided fusion categories
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Alexei Davydov
,
Michael Müger
Published/Copyright:
March 6, 2012
Abstract
We give a characterization of Drinfeld centers of fusion categories as non-degenerate braided fusion categories containing a Lagrangian algebra. Further we study the quotient of the monoid of non-degenerate braided fusion categories modulo the submonoid of the Drinfeld centers and show that its formal properties are similar to those of the classical Witt group.
Received: 2010-11-16
Revised: 2011-09-02
Published Online: 2012-03-06
Published in Print: 2013-04
©[2013] by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Essential dimension of algebraic tori
- K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space, II: A structure theorem for r(M) > 10
- Groups of positive weighted deficiency and their applications
- The Witt group of non-degenerate braided fusion categories
- Upper motives of algebraic groups and incompressibility of Severi–Brauer varieties
- Solution of a uniqueness problem in the discrete tomography of algebraic Delone sets
- Brauer group of moduli of principal bundles over a curve
