Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Pugh, Mathew"'
Autor:
Grant, Joseph, Pugh, Mathew
We give a new definition of a Frobenius structure on an algebra object in a monoidal category, generalising Frobenius algebras in the category of vector spaces. Our definition allows Frobenius forms valued in objects other than the unit object, and c
Externí odkaz:
http://arxiv.org/abs/2409.12920
Autor:
Evans, David E., Pugh, Mathew
The main goal of this paper is to classify $\ast$-module categories for the $SO(3)_{2m}$ modular tensor category. This is done by classifying $SO(3)_{2m}$ nimrep graphs and cell systems, and in the process we also classify the $SO(3)$ modular invaria
Externí odkaz:
http://arxiv.org/abs/1804.07714
Autor:
Pugh, Mathew
We study the SU(3) AVE graphs, which appear in the classification of modular in variant partition functions from numerous viewpoints, including determination of their Boltzmann weights, representations of Hecke algebras, a new notion of A2 planar alg
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.584378
Autor:
Evans, David E., Pugh, Mathew
Spectral measures provide invariants for braided subfactors via fusion modules. In this paper we study joint spectral measures associated to the compact connected rank two Lie group $SO(5)$ and its double cover the compact connected, simply-connected
Externí odkaz:
http://arxiv.org/abs/1404.1912
Autor:
Evans, David E., Pugh, Mathew
Publikováno v:
Communications in Mathematical Physics 343 (2016), 811-850
Spectral measures for fundamental representations of the rank two Lie groups $SU(3)$, $Sp(2)$ and $G_2$ have been studied. Since these groups have rank two, these spectral measures can be defined as measures over their maximal torus $\mathbb{T}^2$ an
Externí odkaz:
http://arxiv.org/abs/1404.1877
Autor:
Evans, David E., Pugh, Mathew
Joint spectral measures associated to the rank two Lie group $G_2$, including the representation graphs for the irreducible representations of $G_2$ and its maximal torus, nimrep graphs associated to the $G_2$ modular invariants have been studied. In
Externí odkaz:
http://arxiv.org/abs/1404.1866
Autor:
Evans, David E., Pugh, Mathew
We compute the Hochschild homology and cohomology, and cyclic homology, of almost Calabi-Yau algebras for SU(3) ADE graphs. These almost Calabi-Yau algebras are a higher rank analogue of the pre-projective algebras for Dynkin diagrams, which are SU(2
Externí odkaz:
http://arxiv.org/abs/1111.3585
Autor:
Evans, David E., Pugh, Mathew
Braided subfactors of von Neumann algebras provide a framework for studying two dimensional conformal field theories and their modular invariants. We review this in the context of SU(3) conformal field theories through corresponding SU(3) braided sub
Externí odkaz:
http://arxiv.org/abs/1110.4547
Autor:
Evans, David E., Pugh, Mathew
Publikováno v:
Comm. Math. Phys. 312 (2012), 179-222
We determine the Nakayama automorphism of the almost Calabi-Yau algebra A associated to the braided subfactors or nimrep graphs associated to each SU(3) modular invariant. We use this to determine a resolution of A as an A-A bimodule, which will yiel
Externí odkaz:
http://arxiv.org/abs/1008.1003