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2,298 results on '"Yu, Zhiqiang"'

4. On the center of near-group fusion category of type $\mathbb{Z}_3+6$

Author

Yu, Zhiqiang

Subjects
Mathematics - Quantum Algebra, Mathematics - Category Theory, Mathematics - Rings and Algebras, 18M20, 81R50
Abstract

Let $\mathcal{A}$ be a near-group fusion category of type $\mathbb{Z}_3+6$. We show that there is a modular tensor equivalence $\mathcal{Z}(\mathcal{A})\cong\mathcal{C}(\mathbb{Z}_3,\eta)\boxtimes\mathcal{C}(\mathfrak{sl}_3,9)_{\mathbb{Z}_3}^0$. Moreover, we construct two non-trivial faithful extensions of $\mathcal{A}$ explicitly, whose Drinfeld centers can also be obtained from representation categories quantum groups at root of unity., Comment: A new reference is added

Published
2023

7. Temporal framework for the Yanliao Biota and timing of the origin of crown mammals

Author

Yu, Zhiqiang, Wang, Haibing, Zhang, Chi, Dong, Liping, Huyskens, Magdalena H, Cui, Zexian, Cary, Paige, Di, Yankun, Amelin, Yuri, Li, Gang, Li, Qiuli, Xia, Xiao-Ping, Deng, Chenglong, Wang, Yuanqing, He, Huaiyu, and Yin, Qing-Zhu

Subjects
Earth Sciences, Geology, Yanliao Biota, U-Pb geochronology, Jurassic, Bayesian tip-dating analysis, evolution, Mammalia, Physical Sciences, Geochemistry & Geophysics, Earth sciences, Physical sciences
Abstract

Establishing the temporal sequence of the Middle-Late Jurassic Yanliao Biota is essential as it anchors the timing of many key evolutionary innovations in vertebrates. Lack of sufficiently reliable high-precision ages of fossil-bearing horizons hinders our ability to reconstruct the tempo and mode of vertebrate evolution. Here, we frame a temporal sequence of Yanliao Biota with precise age constraints for iconic vertebrates, proposing that the major vertebrate-bearing strata span from 164 Ma to 157 Ma in age. The increasing ecological diversity of mammaliaforms is well illustrated by the Middle-Late Jurassic Yanliao Biota and Early Cretaceous Jehol Biota. Incorporation of the updated temporal frameworks in Bayesian tip-dated mammaliaform phylogeny reveals that Triassic haramiyidans are separate from Jurassic taxa and unrelated to crown Mammalia. Tip-dated phylogeny supports a long-fuse model for mammal evolution, featured by a Late Triassic root and Middle-Late Jurassic interordinal diversification of crown Mammalia, showing consistency with molecular-based timetrees in divergence timing.

Published
2023

11. Single Image Dehazing with Global Detail Attention and Hierarchical Feature Fusion

Author

Zhang, Qirui, Xu, Bing, Yu, Zhiqiang, Angrisani, Leopoldo, Series Editor, Arteaga, Marco, Series Editor, Chakraborty, Samarjit, Series Editor, Chen, Shanben, Series Editor, Chen, Tan Kay, Series Editor, Dillmann, Rüdiger, Series Editor, Duan, Haibin, Series Editor, Ferrari, Gianluigi, Series Editor, Ferre, Manuel, Series Editor, Jabbari, Faryar, Series Editor, Jia, Limin, Series Editor, Kacprzyk, Janusz, Series Editor, Khamis, Alaa, Series Editor, Kroeger, Torsten, Series Editor, Li, Yong, Series Editor, Liang, Qilian, Series Editor, Martín, Ferran, Series Editor, Ming, Tan Cher, Series Editor, Minker, Wolfgang, Series Editor, Misra, Pradeep, Series Editor, Mukhopadhyay, Subhas, Series Editor, Ning, Cun-Zheng, Series Editor, Nishida, Toyoaki, Series Editor, Oneto, Luca, Series Editor, Panigrahi, Bijaya Ketan, Series Editor, Pascucci, Federica, Series Editor, Qin, Yong, Series Editor, Seng, Gan Woon, Series Editor, Speidel, Joachim, Series Editor, Veiga, Germano, Series Editor, Wu, Haitao, Series Editor, Zamboni, Walter, Series Editor, Tan, Kay Chen, Series Editor, and S. Shmaliy, Yuriy, editor

Published
2024
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12. Pre-modular fusion categories of global dimensions $p^2$

Author

Yu, Zhiqiang

Subjects
Mathematics - Quantum Algebra, Mathematics - Category Theory, 18M20
Abstract

Let $p\geq5$ be a prime, we show that a non-pointed modular fusion category $\mathcal{C}$ is Grothendieck equivalent to $\mathcal{C}(\mathfrak{sl}_2,2(p-1))_A^0$ if and only if $\dim(\mathcal{C})=p\cdot u$, where $u$ is a certain totally positive algebraic unit and $A$ is the regular algebra of the Tannakian subcategory $\text{Rep}(\mathbb{Z}_2)\subseteq\mathcal{C}(\mathfrak{sl}_2,2(p-1))$. As a direct corollary, we classify non-simple modular fusion categories of global dimensions $p^2$., Comment: 25 pages; comments are welcome

Published
2022

25. Modular tensor categories, subcategories, and Galois orbits

Author

Plavnik, Julia, Schopieray, Andrew, Yu, Zhiqiang, and Zhang, Qing

Subjects
Mathematics - Quantum Algebra, 18M20
Abstract

We establish a set of general results to study how the Galois action on modular tensor categories interacts with fusion subcategories. This includes a characterization of fusion subcategories of modular tensor categories which are closed under the Galois action, and a classifcation of modular tensor categories which factor as a product of pointed and transitive categories in terms of pseudoinvertible objects. As an application, we classify modular tensor categories with two Galois orbits of simple objects and a nontrivial grading group., Comment: 20 pages; comments welcome

Published
2021

38. On the minimal extension and structure of weakly group-theoretical braided fusion categories

Author

Ostrik, Victor and Yu, Zhiqiang

Subjects
Mathematics - Quantum Algebra, Mathematics - Category Theory, Mathematics - Representation Theory, 18M05, 18M20
Abstract

We show that any slightly degenerate weakly group-theoretical fusion category admits a minimal non-degenerate extension. Let $d$ be a positive square-free integer, given a weakly group-theoretical non-degenerate fusion category $\mathcal{C}$, assume that $\text{FPdim}(\mathcal{C})=nd$ and $(n,d)=1$. If $(\text{FPdim}(X)^2,d)=1$ for all simple objects $X$ of $\mathcal{C}$, then we show that $\mathcal{C}$ contains a non-degenerate fusion subcategory $\mathcal{C}(\mathbb{Z}_d,q)$. In particular, we obtain that integral fusion categories of FP-dimensions $p^md$ such that $\mathcal{C}'\subseteq \text{sVec}$ are nilpotent and group-theoretical, where $p$ is a prime and $(p,d)=1$., Comment: 15 pages, final version

Published
2021

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