The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten theory [PDF]
Advances in Mathematics, 2020 In this work, for a finite group $G$ and a 4-cocycle $ \in Z^4(G, \mathbf{k}^\times)$, we compute explicitly the center of the monoidal 2-category $\operatorname{2Vec}_G^ $ of $ $-twisted $G$-graded 1-categories of finite dimensional $\mathbf{k}$-vector spaces.
Kong, Liang, Tian, Yin, Zhou, Shan
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On the spectrum and support theory of a finite tensor category [PDF]
Mathematische Annalen, 2021 Finite tensor categories (FTCs) T\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
D. Nakano, Kent B. Vashaw, M. Yakimov
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Support theory for Drinfeld doubles of some infinitesimal group schemes [PDF]
Algebra & Number Theory, 2021 Consider a Frobenius kernel G in a split semisimple algebraic group, in very good characteristic. We provide an analysis of support for the Drinfeld center Z(rep(G)) of the representation category for G, or equivalently for the representation category of
E. Friedlander, C. Negron
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Descriptive Study Of The Incidence Of Preeclampsy In Pregnant Women At Ajibarang II Health Center
Journal of Midwifery Science Basic and Applied Research, 2023 Preeclampsia is a specific condition in pregnancy characterized by placental dysfunction and a maternal response to systemic inflammation with endothelial activation and coagulation (POGI, 2016).
Elisa Ulfiana +2 more
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Categorial compositionality: a category theory explanation for the systematicity of human cognition. [PDF]
PLoS Computational Biology, 2010 Classical and Connectionist theories of cognitive architecture seek to explain systematicity (i.e., the property of human cognition whereby cognitive capacity comes in groups of related behaviours) as a consequence of syntactically and functionally ...
Steven Phillips, William H Wilson
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A mathematical theory of gapless edges of 2d topological orders. Part II
Nuclear Physics B, 2021 This is the second part of a two-part work on the unified mathematical theory of gapped and gapless edges of 2+1D topological orders. In Part I, we have developed the mathematical theory of chiral gapless edges.
Liang Kong, Hao Zheng
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The sustainable semantic foundations of the traditional neighborhoods in the desert cities [PDF]
International Journal of Human Capital in Urban Management, 2022 BACKGROUND AND OBJECTIVES: In cities with a hot and harsh climate, defining space and territory in a sustainable and environmentally manner in urban management and human capital is critical. Cultural values and climatic adaptation played a prominent role
S. Maroofi, M. Valibeigi, A. Shaneh
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Dualizability in Low-Dimensional Higher Category Theory [PDF]
, 2013 These lecture notes form an expanded account of a course given at the Summer School on Topology and Field Theories held at the Center for Mathematics at the University of Notre Dame, Indiana during the Summer of 2012.
Christopher J. Schommer-Pries
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Set-valued data collection with local differential privacy based on category hierarchy
Mathematical Biosciences and Engineering, 2021 Set-valued data is extremely important and widely used in sensor technology and application. Recently, privacy protection for set-valued data under differential privacy (DP) has become a research hotspot.
Jia Ouyang +4 more
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Permutations, power operations, and the center of the category of racks [PDF]
, 2016 Racks and quandles are rich algebraic structures that are strong enough to classify knots. Here we develop several fundamental categorical aspects of the theories of racks and quandles and their relation to the theory of permutations.
Markus Szymik
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