Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Hardiman, Leonard"'
Autor:
Bendjeddou, Amire, Hardiman, Leonard
We study the multivariate independence polynomials of graphs and the log-concavity of the coefficients of their univariate restrictions. Let $R_{W_4}$ be the operator defined on simple and undirected graphs which replaces each edge with a caterpillar
Externí odkaz:
http://arxiv.org/abs/2405.00511
We study perfect crystals for the standard modules of the affine Lie algebra $A_1^{(1)}$ at all levels using the theory of multi-grounded partitions. We prove a family of partition identities which are reminiscent of the Andrews-Gordon identities and
Externí odkaz:
http://arxiv.org/abs/2111.10279
Autor:
Hardiman, Leonard
For a given modular tensor category we study representations of the corresponding tube category whose isomorphism classes are modular invariant matrices. In particular, we provide a characterization of these representations in terms of the annular gr
Externí odkaz:
http://arxiv.org/abs/2101.07341
Autor:
Hardiman, Leonard
Publikováno v:
Communications in Mathematical Physics, 381(3), 1055-1090 (2021)
We consider a pivotal monoidal functor whose domain is a modular tensor category (MTC). We show that the trace of such a functor naturally extends to a representation of the corresponding tube category. As irreducible representations of the tube cate
Externí odkaz:
http://arxiv.org/abs/1911.09024
Autor:
Hardiman, Leonard
Let $\mathcal{C}$ be a spherical fusion category. The goal of this article is to present the tube category of $\mathcal{C}$, denoted $\mathcal{TC}$, as giving an alternative graphical perspective on the Drinfeld centre of $\mathcal{C}$, denoted $Z(\m
Externí odkaz:
http://arxiv.org/abs/1911.07271
Autor:
Hardiman, Leonard, King, Alastair
Publikováno v:
Glasgow Math. J. 62 (2020) 441-458
The tube category of a modular tensor category is a variant of the tube algebra, first introduced by Ocneanu. As a category, it can be decomposed in two different, but related, senses. Firstly, via the Yoneda embedding, the Hom spaces decompose into
Externí odkaz:
http://arxiv.org/abs/1806.01800
Autor:
Hardiman, Leonard1 (AUTHOR) hardiman@math.univ-lyon1.fr
Publikováno v:
Communications in Mathematical Physics. Feb2021, Vol. 381 Issue 3, p1055-1090. 36p.
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.