Results 1 to 10 of about 125,632 (233)
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.
Liang Kong, Shan Zhou, Yin Tian
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Drinfeld Center and Representation Theory for Monoidal Categories [PDF]
Communications in Mathematical Physics, 2016 Motivated by the relation between the Drinfeld double and central property (T) for quantum groups, given a rigid C*-tensor category C and a unitary half-braiding on an ind-object, we construct a *-representation of the fusion algebra of C. This allows us to present an alternative approach to recent results of Popa and Vaes, who defined C*-algebras of ...
Neshveyev, Sergey, Yamashita, Makoto
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On continuous 2-category symmetries and Yang-Mills theory
Journal of High Energy Physics, 2022 We study a 4d gauge theory U(1) N−1 ⋊ S N obtained from a U(1) N−1 theory by gauging a 0-form symmetry S N . We show that this theory has a global continuous 2-category symmetry, whose structure is particularly rich for N > 2.
Andrea Antinucci +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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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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Fundamental properties of rhythm sequences [PDF]
Journal of the American Society for Information Science and Technology, 2008 AbstractFundamental mathematical properties of rhythm sequences are studied. In particular, a set of three axioms for valid rhythm indicators is proposed, and it is shown that the R‐indicator satisfies only two out of three but that the R′‐indicator satisfies all three.
Gondy Leroy +3 more
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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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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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