8 citations · 17 across the 6 of their papers we have counts for
6 papers
Premonoidal categories associated with representations of finite groups and their quantum doubles
L. D. Wagner, J. Links, P. S. Isaac +2
We study the construction of premonoidal categories, where the pentagon relation fails, through representations of finite group algebras and their quantum doubles. Both finite grou…
Quark confinement without a confining force
P. S. Isaac, W. P. Joyce, J. Links
We show that a non-associative structure applied to the algebra of Fermi operators with su(3) colour degrees of freedom leads to a consistent Fermi statistic for the tensor operato…
An algebraic origin for quark confinement
P. S. Isaac, W. P. Joyce, J. Links
Recently, a principle for state confinement has been proposed in a category theoretic framework and to accomodate this result the notion of a pre-monoidal category was developed. H…
Braided Premonoidal Coherence
W. P. Joyce
Given a category with a bifunctor and natural isomorphisms for associativity, commutativity and left and right identity we do not assume that extra constraining diagrams hold. We i…
Quark State Confinement as a Consequence of the Extension of the Bose--Fermi Recoupling to SU(3) Colour
W. P. Joyce
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 demonst…
Natural Associativity without the Pentagon condition
W. P. Joyce
A premonoidal category is equipped only with a bifunctor and a natural isomorphism for associativity. We introduce a (deformation) natural automorphism representing the deviation f…