Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Laugwitz, Robert"'
It is shown that every $2$-shifted Poisson structure on a finitely generated semi-free commutative differential graded algebra $A$ defines a very explicit infinitesimal $2$-braiding on the homotopy $2$-category of the symmetric monoidal dg-category o
Externí odkaz:
http://arxiv.org/abs/2408.00391
Given a monoidal adjunction, we show that the right adjoint induces a braided lax monoidal functor between the corresponding Drinfeld centers provided that certain natural transformations, called projection formula morphisms, are invertible. We inves
Externí odkaz:
http://arxiv.org/abs/2402.10094
Autor:
Cheng, Michelle, Laugwitz, Robert
Publikováno v:
Journal of Humanistic Mathematics, Volume 14 Issue 2 (July 2024), pages 286-337. Available at: https://scholarship.claremont.edu/jhm/vol14/iss2/10
In this expositional essay, we introduce some elements of the study of groups by analysing the braid pattern on a knitted blanket. We determine that the blanket features pure braids with a minimal number of crossings. Moreover, we determine polynomia
Externí odkaz:
http://arxiv.org/abs/2310.12192
Given a braided monoidal category $\mathcal{C}$ and $\mathcal{C}$-module category $\mathcal{M}$, we introduce a version of the Drinfeld center $\mathcal{Z}(\mathcal{C})$ of $\mathcal{C}$ adapted for $\mathcal{M}$; we refer to this category as the ref
Externí odkaz:
http://arxiv.org/abs/2307.14764
Publikováno v:
SIGMA 19 (2023), 075, 42 pages
We construct a separable Frobenius monoidal functor from $\mathcal{Z}\big(\mathsf{Vect}_H^{\omega|_H}\big)$ to $\mathcal{Z}\big(\mathsf{Vect}_G^\omega\big)$ for any subgroup $H$ of $G$ which preserves braiding and ribbon structure. As an application,
Externí odkaz:
http://arxiv.org/abs/2303.04493
Autor:
Laugwitz, Robert, Sanmarco, Guillermo
We construct a series of finite-dimensional quantum groups as braided Drinfeld doubles of Nichols algebras of type Super A, for an even root of unity, and classify ribbon structures for these quantum groups. Ribbon structures exist if and only if the
Externí odkaz:
http://arxiv.org/abs/2301.10685
Autor:
Laugwitz, Robert, Miemietz, Vanessa
This article develops a theory of cell combinatorics and cell 2-representations for differential graded 2-categories. We introduce two types of partial preorders, called the strong and weak preorder, and analyse and compare them. The weak preorder is
Externí odkaz:
http://arxiv.org/abs/2212.07753
Autor:
Cheng, Michelle msucheng@gmail.com, Laugwitz, Robert Uwe1 robert.laugwitz@nottingham.ac.uk
Publikováno v:
Journal of Humanistic Mathematics. Jul2024, Vol. 14 Issue 2, p286-337. 52p.
Autor:
Laugwitz, Robert, Miemietz, Vanessa
This paper develops a theory of pretriangulated 2-representations of dg 2-categories. We characterize cyclic pretriangulated 2-representations, under certain compactness assumptions, in terms of modules over dg algebra 1-morphisms internal to associa
Externí odkaz:
http://arxiv.org/abs/2205.09999
Autor:
Laugwitz, Robert, Walton, Chelsea
We define the class of rigid Frobenius algebras in a (non-semisimple) modular category and prove that their categories of local modules are, again, modular. This generalizes previous work of A. Kirillov, Jr. and V. Ostrik [Adv. Math. 171 (2002), no.
Externí odkaz:
http://arxiv.org/abs/2202.08644