A5066885343- Advanced Algebra and Geometry
- Finite Group Theory Research
- Algebraic structures and combinatorial models
- Advanced Topics in Algebra
- Algebraic Geometry and Number Theory
- COVID-19 epidemiological studies
- COVID-19 Pandemic Impacts
- Aviation Industry Analysis and Trends
- Nonlinear Waves and Solitons
- Human Mobility and Location-Based Analysis
- Coding theory and cryptography
- Homotopy and Cohomology in Algebraic Topology
- Nonlinear Dynamics and Pattern Formation
- Data-Driven Disease Surveillance
- Advanced Steganography and Watermarking Techniques
- Ecosystem dynamics and resilience
- Commutative Algebra and Its Applications
- graph theory and CDMA systems
- Rings, Modules, and Algebras
- Mental Health Research Topics
- Opinion Dynamics and Social Influence
- Cryptography and Data Security
- Slime Mold and Myxomycetes Research
- Mathematical and Theoretical Epidemiology and Ecology Models
- Geometric and Algebraic Topology
Shanghai Institute for Science of Science
2020-2023
Shanghai Center for Brain Science and Brain-Inspired Technology
2020-2023
Fudan University
2020-2023
Tongji University
1988-2006
Xinyang College of Agriculture and Forestry
2002
East China Normal University
1985
The airline industry was severely hit by the COVID-19 crisis with an average demand decrease of about 64 % (IATA, April 2020), which triggered already several bankruptcies companies all over world. While robustness world network (WAN) mostly studied as a homogeneous network, we introduce new tool for analyzing impact company failure: "airline network" where two airlines are connected if they share at least one route segment. Using this tool, observe that failure well others has largest on...
Let $\cP=G/P$ be a homogeneous projective variety with $G$ reductive group and $P$ parabolic subgroup. In positive characteristic we exhibit for of low rank Karoubian complete strongly exceptional poset locally free sheaves appearing in the Frobenius direct image structure sheaf $G/P$. These are all defined over $\bbZ$, so by base change provide on $\cP$ $\bbC$, adding to list classical results Beilinson Kapranov Grassmannians quadrics $\bbC$.
Two months after it was firstly reported, the novel coronavirus disease COVID-19 has already spread worldwide. However, vast majority of reported infections have occurred in China. To assess effect early travel restrictions adopted by health authorities China, we implemented an epidemic metapopulation model that is fed with mobility data corresponding to 2019 and 2020. This allows compare two radically different scenarios, one no another which reduced a ban. Our findings indicate i) are...
Let G be a connected simply-connected simple algebraic group of type G2 over an algebraically closed field K characteristic p ≥ 13,and G1 the kernel Frobenius morphism F on G. In present paper we show how one can obtain extensions any two modules for by using same method as [7] and [9]. Note that there are 6 positive roots in root system G, 12 alcove types corresponding to alcoves restricted box, hence “generic decomposition patterns” which indicate composition factor multiplicities Weyl...
All the 62 monomial elements in canonical basis B of quantized enveloping algebra for type $A_4$ have been determined [2]. According to Lusztig's idea [7], consist monomials and linear combinations (for convenience, we call them polynomials). In this note, compute all 144 polynomial one variable based on our joint note We conjecture that there are other two or three variables B, which include independent dependent variables. Moreover, it is conjectured no with four more
All irreducible characters for the special orthogonal group SO(7, K) and symplectic Sp(6, over an algebraically closed field K of characteristic 3 are determined, Cartan invariant matrix finite 3) is also calculated in this note.
Understanding how interurban movements can modify the spatial distribution of population is important for transport planning but also a fundamental ingredient epidemic modeling. We illustrate this on vacation trips all transportation modes in China during Lunar New Year and compare results 2019 with ones 2020 where travel bans were applied mitigating spread novel coronavirus (COVID-19). first show that inter-urban flows are broadly distributed display both large temporal fluctuations, making...
Abstract Extensions of simple modules for the finite Chevalley group G2(p) with p >13 are completely determined in this note.
The airline industry was severely hit by the COVID-19 crisis with an average demand decrease of about $64\%$ (IATA, April 2020) which triggered already several bankruptcies companies all over world. While robustness world network (WAN) mostly studied as homogeneous network, we introduce a new tool for analyzing impact company failure: `airline network' where two airlines are connected if they share at least one route segment. Using this tool, observe that failure well others has largest on...
In this note, we determine the irreducible characters for special linear group SL(6,K) and S L(7,K) over an algebraically closed field K of characteristic 2, by using theorem Xi Nanhua [7] MATLAB software.
The Cartan matrix for the finite symplectic group Sp(6, 3) over a field of three elements is computed in this paper by using computer and MATLAB software.
ABSTRACT In this note, we determine the irreducible characters for simple algebraic groups of type and over an algebraically closed field K characteristic 3, by using a theorem Xi Nanhua [1] Xi, Nanhua. 1996. Irreducible Modules Quantized Enveloping Algebras at Roots 1 Publ. RIMS. Kyoto Univ., 32: 235–276. [Crossref], [Web Science ®] , [Google Scholar] MATLAB software.
Let G be a simply–connected semisimple algebraic group over an algebraically closed field K of characteristic p > 0. π automorphism coming from that the Dynkin diagram G, and F n–th Frobenius morphism G. We denote by Gπ(n) finite consisting fixed points under · in which is called Lie type. In present paper, we shall show how to determine first Cartan invariant C 00 Gπ(n), i.e. multiplicity trivial module its projective cover. The method used here due Jantzen’s lectures at ECNU 1984(cf.[J2])....
ABSTRACT The first Cartan invariant for the finite group of type over a field elements with or is calculated in this note. ACKNOWLEDGMENTS Supported part by NNSFC and Foundation University Science Technology Development Shanghai.