Results 1 to 10 of about 1,085,855 (260)
The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten theory [PDF]
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]
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
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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The sustainable semantic foundations of the traditional neighborhoods in the desert cities [PDF]
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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Categorial compositionality: a category theory explanation for the systematicity of human cognition. [PDF]
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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Set-valued data collection with local differential privacy based on category hierarchy
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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Fundamental properties of rhythm sequences [PDF]
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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This study aims to evaluate the Teacher Training Program at Training Center for Education and Religious Technical Personnell. The basic problem is that there is no post-training evaluation as an integral part of the evaluation of training implementation.
Hasyim Asyari+2 more
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