Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 2-Representations and Associated Coalgebra 1-Morphisms for Locally Wide
  Finitary 2-Categories   We define locally wide finitary 2-categories by relaxing the definition of
finitary 2-categories to allow infinitely many objects and isomorphism classes
of 1-morphisms and infinite dimensional hom-spaces of 2-morphisms. After
defining related concepts including transitive 2-representations in this
setting, we provide a new method of constructing coalgebra 1-morphisms
associated to transitive 2-representations of locally wide weakly fiat
2-categories, and demonstrate that any such transitive 2-representation is
equivalent to a certain subcategory of the category of comodule 1-morphisms
over the coalgebra 1-morphism. We finish the paper by examining two classes of
examples of locally wide weakly fiat 2-categories: 2-categories associated to
certain classes of infinite quivers, and singular Soergel bimodules associated
to Coxeter groups with finitely many simple reflections.

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The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio