2-表示与星形代数的加权极限

IF 0.6 4区数学 Q3 MATHEMATICS

Applied Categorical Structures Pub Date : 2023-07-22 DOI:10.1007/s10485-023-09737-w

Mateusz Stroiński

引用次数: 2

摘要

应用加权双范畴极限理论，研究有限双范畴双表示极限的存在性和计算问题。我们的结果的主要应用是齐默尔曼先前研究的二范畴的简单传递二表示的完全分类。这种分类证实了他的一个猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Weighted Colimits of 2-Representations and Star Algebras

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Weighted Colimits of 2-Representations and Star Algebras

We apply the theory of weighted bicategorical colimits to study the problem of existence and computation of such colimits of birepresentations of finitary bicategories. The main application of our results is the complete classification of simple transitive birepresentations of a bicategory studied previously by Zimmermann. The classification confirms a conjecture he has made.

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来源期刊

Applied Categorical Structures 数学-数学

CiteScore

1.30

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Applied Categorical Structures focuses on applications of results, techniques and ideas from category theory to mathematics, physics and computer science. These include the study of topological and algebraic categories, representation theory, algebraic geometry, homological and homotopical algebra, derived and triangulated categories, categorification of (geometric) invariants, categorical investigations in mathematical physics, higher category theory and applications, categorical investigations in functional analysis, in continuous order theory and in theoretical computer science. In addition, the journal also follows the development of emerging fields in which the application of categorical methods proves to be relevant. Applied Categorical Structures publishes both carefully refereed research papers and survey papers. It promotes communication and increases the dissemination of new results and ideas among mathematicians and computer scientists who use categorical methods in their research.