Finitary birepresentations of finitary bicategories
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2021/08/07
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Journal
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Indian UGC (journal)
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Refrences28
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Citations8
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Marco Mackaay Center for Mathematical Analysis, Geometry, and Dynamical Systems , Departamento de Matemática , Instituto Superior Técnico , 1049-001 Lisboa ; and Departamento de Matemática, FCT, Universidade do Algarve, Campus de Gambelas, 8005-139 Faro , Portugal
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Volodymyr Mazorchuk Department of Mathematics , Uppsala University , Box. 480, SE-75106 , Uppsala , Sweden
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Vanessa Miemietz School of Mathematics , University of East Anglia , Norwich NR4 7TJ , United Kingdom
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Daniel Tubbenhauer School of Mathematics and Statistics , The University of Sydney , F07 – Carslaw Building, Office Carslaw 827, NSW 2006 , Sydney , Australia ORCID (unauthenticated)
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Xiaoting Zhang Beijing Advanced Innovation Center for Imaging Theory and Technology , Academy for Multidisciplinary Studies , Capital Normal University , Beijing 100048 , P. R. China
Abstract
Cite
Mackaay, Marco, et al. “Finitary Birepresentations of Finitary Bicategories”. Forum Mathematicum, vol. 33, no. 5, 2021, pp. 1261-20, https://doi.org/10.1515/forum-2021-0021.
Mackaay, M., Mazorchuk, V., Miemietz, V., Tubbenhauer, D., & Zhang, X. (2021). Finitary birepresentations of finitary bicategories. Forum Mathematicum, 33(5), 1261-1320. https://doi.org/10.1515/forum-2021-0021
Mackaay M, Mazorchuk V, Miemietz V, Tubbenhauer D, Zhang X. Finitary birepresentations of finitary bicategories. Forum Mathematicum. 2021;33(5):1261-320.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
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| 27 | 1992 |
| Module categories, weak Hopf algebras and modular invariants | Transformation Groups |
| 249 | 2003 |
| Transitive $2$-representations of finitary $2$-categories | Transactions of the American Mathematical Society |
| 31 | 2015 |
| Isotypic faithful 2-representations of $${\mathcal {J}}$$ J -simple fiat 2-categories | Mathematische Zeitschrift |
| 27 | 2015 |
| Endomorphisms of Cell 2-Representations | International Mathematics Research Notices |
| 26 | 2016 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Evaluation birepresentations of affine type A Soergel bimodules | Advances in Mathematics |
| 2024 | |
Monoidal categories, representation gap and cryptography | Transactions of the American Mathematical Society, Series B |
| 2024 | |
Module categories, internal bimodules, and Tambara modules | Proceedings of the London Mathematical Society |
| 2024 | |
Weighted Colimits of 2-Representations and Star Algebras | Applied Categorical Structures |
| 2023 | |
| Simple transitive 2-representations of bimodules over radical square zero Nakayama algebras via localization | Journal of Algebra |
| 1 | 2023 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 8 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 1 |
The category
Science: Mathematics 8
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Simple transitive 2-representations of 2-categories associated to self-injective cores and was published in 2022. The most recent citation comes from a 2024 study titled Module categories, internal bimodules, and Tambara modules. This article reached its peak citation in 2023, with 4 citations. It has been cited in 7 different journals, 14% of which are open access. Among related journals, the Proceedings of the London Mathematical Society cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.