Results 11 to 20 of about 1,597 (43)
Tensors, !-graphs, and non-commutative quantum structures
, 2014 Categorical quantum mechanics (CQM) and the theory of quantum groups rely heavily on the use of structures that have both an algebraic and co-algebraic component, making them well-suited for manipulation using diagrammatic techniques.
Kissinger, Aleks, Quick, David
core +2 more sources
Quark State Confinement as a Consequence of the Extension of the Bose--Fermi Recoupling to SU(3) Colour [PDF]
, 2003 The Bose--Fermi recoupling of particles arising from the $\bZ_{2}$--grading of the irreducible representations of SU(2) is responsible for the Pauli exclusion principle. We demonstrate from fundamental physical assumptions how to extend this to gradings,
Joyce, W. P.
core +1 more source
The tilting-cotilting correspondence
, 2019 To a big n-tilting object in a complete, cocomplete abelian category A with an injective cogenerator we assign a big n-cotilting object in a complete, cocomplete abelian category B with a projective generator, and vice versa.
Positselski, Leonid, Stovicek, Jan
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Hopf algebras and finite tensor categories in conformal field theory [PDF]
, 2010 In conformal field theory the understanding of correlation functions can be divided into two distinct conceptual levels: The analytic properties of the correlators endow the representation categories of the underlying chiral symmetry algebras with ...
Fuchs, Jurgen, Schweigert, Christoph
core
A few remarks on the tube algebra of a monoidal category
, 2018 We prove two results on the tube algebras of rigid C$^*$-tensor categories. The first is that the tube algebra of the representation category of a compact quantum group $G$ is a full corner of the Drinfeld double of $G$.
Neshveyev, Sergey, Yamashita, Makoto
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Coherence for Categorified Operadic Theories [PDF]
, 2006 It has long been known that every weak monoidal category A is equivalent via monoidal functors and monoidal natural transformations to a strict monoidal category st(A). We generalise the definition of weak monoidal category to give a definition of weak P-
Gould, Miles
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Algebraic Structures in Euclidean and Minkowskian Two-Dimensional Conformal Field Theory [PDF]
, 2008 We review how modular categories, and commutative and non-commutative Frobenius algebras arise in rational conformal field theory. For Euclidean CFT we use an approach based on sewing of surfaces, and in the Minkowskian case we describe CFT by a net of ...
Kong, Liang, Runkel, Ingo
core +3 more sources
Causal sites as quantum geometry
, 2004 We propose a structure called a causal site to use as a setting for quantum geometry, replacing the underlying point set. The structure has an interesting categorical form, and a natural "tangent 2-bundle," analogous to the tangent bundle of a smooth ...
Artin M. +5 more
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The category of opetopes and the category of opetopic sets
, 2003 We give an explicit construction of the category Opetope of opetopes. We prove that the category of opetopic sets is equivalent to the category of presheaves over Opetope.Comment: 23 ...
Cheng, Eugenia
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Hopf measuring comonoids and enrichment
, 2016 We study the existence of universal measuring comonoids $P(A,B)$ for a pair of monoids $A$, $B$ in a braided monoidal closed category, and the associated enrichment of a category of monoids over the monoidal category of comonoids. In symmetric categories,
Franco, Ignacio Lopez +2 more
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