Zobrazeno 1 - 10
of 1 922
pro vyhledávání: '"18D10"'
Autor:
Cranch, James, Struth, Georg
With a view on applications in computing, in particular concurrency theory and higher-dimensional rewriting, we develop notions of $n$-fold monoid and comonoid objects in $n$-fold monoidal categories and bicategories. We present a series of examples
Externí odkaz:
http://arxiv.org/abs/2411.03821
Autor:
Ayala, David, Francis, John
We introduce an $(\infty,1)$-category ${\sf Bord}_1^{\sf fr}(\mathbb{R}^n)$, the morphisms in which are framed tangles in $\mathbb{R}^n\times \mathbb{D}^1$. We prove that ${\sf Bord}_1^{\sf fr}(\mathbb{R}^n)$ has the universal mapping out property of
Externí odkaz:
http://arxiv.org/abs/2410.23965
Autor:
Kashiwara, Masaki, Kim, Myungho
Admissible chains of i-boxes are important combinatorial tools in the monoidal categorification of cluster algebras, as they provide seeds of the cluster algebra. In this paper, we explore the properties of maximal commuting families of i-boxes in a
Externí odkaz:
http://arxiv.org/abs/2409.14359
Autor:
Bi, Yingjin
In this paper, we investigate the cluster morphisms between cluster algebras and the functor of monoidal categories. Our findings demonstrate that there exists a monoidal categorification of the coordinate ring of the open Richardson variety $\mathca
Externí odkaz:
http://arxiv.org/abs/2409.04715
Let $ V$ be a braided tensor category and $ C$ a tensor category equipped with a braided tensor functor $G:V\to Z(C)$. For any exact indecomposable $C$-module category $M$, we explicitly construct a right adjoint of the action functor $\rho:Z^V(C)\to
Externí odkaz:
http://arxiv.org/abs/2409.01918
Autor:
Coquereaux, Robert
Publikováno v:
In: Flandrin, P., Jaffard, S., Paul, T., Torresani, B. (eds) Theoretical Physics, Wavelets, Analysis, Genomics. An Indisciplinary Tribute to Alex Grossmann. Applied and Numerical Harmonic Analysis. Birkh\"auser, Cham. 2023
After recalling the notion of higher roots (or hyper-roots) associated with "quantum modules" of type $(G, k)$, for $G$ a semi-simple Lie group and $k$ a positive integer, following the definition given by A. Ocneanu in 2000, we study the theta serie
Externí odkaz:
http://arxiv.org/abs/2409.02926
A general construction of Knop creates a symmetric monoidal category $\mathcal{T}(\mathcal{A},\delta)$ from any regular category $\mathcal{A}$ and a fixed degree function $\delta$. A special case of this construction are the Deligne categories $\unde
Externí odkaz:
http://arxiv.org/abs/2407.03798
Autor:
Bi, Yingjin
In this paper, we study multiplication formula of $F$-polynomial of representations of Hernandez and Leclerc's quivers with potentials. Since the truncated $q$-characters of some real simple modules over a quantum affine group $U_q(\widehat{\mathfrak
Externí odkaz:
http://arxiv.org/abs/2405.11232
We construct Fredholm modules over an algebra taking values in generalized Hilbert spaces over a rigid $C^*$-tensor category. Using methods of Connes, we obtain Chern characters taking values in cyclic cohomology. These Chern characters are well beha
Externí odkaz:
http://arxiv.org/abs/2404.15162
We introduce a notion of equivariant $\mathcal{D}$-stability for actions of unitary tensor categories on C$^*$-algebras. We show that, when $\mathcal{D}$ is strongly self-absorbing, equivariant $\mathcal{D}$-stability of an action is equivalent to a
Externí odkaz:
http://arxiv.org/abs/2401.14238