25 citations · 30 across the 4 of their papers we have counts for
5 papers
Ribbon Structure in Symmetric Pre-monoidal Categories
Liam Wagner, Jon Links, Phil Isaac
Let U(g) denote the universal enveloping algebra of a Lie algebra g. We show the existence of a ribbon algebra in a particular deformation of U(g) which leads to a symmetric pre-mo…
Weak Hopf algebras corresponding to
N. Aizawa, P. S. Isaac
We investigate the weak Hopf algebras of Li based on and Sweedler's finite dimensional example. We give weak Hopf algebra isomorphisms between the weak generalisations…
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…
On Quasi-Hopf superalgebras
Mark D. Gould, Yao-Zhong Zhang, Phillip S. Isaac
In this work we investigate several important aspects of the structure theory of the recently introduced quasi-Hopf superalgebras (QHSAs), which play a fundamental role in knot the…