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| 1 | Graded automorphism group of TKK algebra显示文摘The classification of extended affine Lie algebras of type A1 depends on the Tits-Kantor- Koecher (TKK) algebras constructed from semilattices of Euclidean spaces.One can define a unitary Jordan algebra J(S) from a semilattice S of Rv (v≥1),and then construct an extended affine Lie algebra of type A1 from the TKK algebra T(J(S)) which is obtained from the Jordan algebra J(S) by the so-called Tits-Kantor-Koecher construction.In R2 there are only two non-similar semilattices S and S′,where S is a lattice and S′is a non-lattice semilattice.In this paper we study the Z2-graded automorphisms of the TKK algebra T(J(S)). | YE CongFeng TAN ShaoBin | 2008 | Science China Mathematics2008，51，2： | 3 |
| 2 | Existence and uniqueness of smooth solution for the system of ferro-magnetic chain显示文摘 | Zhou Yulin Guo Boling Tan Shaobin | 1991 | Science in China1991，，： | 2 |
| 3 | Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation显示文摘Let g be a(twisted or untwisted)affine Kac-Moody algebra,and μ be a diagram automorphism of g.In this paper,we give an explicit realization for the universal central extensionˆg[μ]of the twisted loop algebra of g with respect toμ,which provides a Moody-Rao-Yokonuma presentation for the algebraˆg[μ]whenμis non-transitive,and the presentation is indeed related to the quantization of twisted toroidal Lie algebras. | Fulin Chen Naihuan Jing Fei Kong Shaobin Tan | 2021 | Science China Mathematics2021，64，6： | 1 |
| 4 | A unified view of some vertex operator constructions显示文摘 | Stephen Berman Yun Gao Shaobin Tan | 2003 | Israel Journal of Mathematics2003，，1： | 1 |
| 5 | Leibniz Central Extension on aBlock Lie Algebra 显示文摘 | Qing Wang Shaobin Tan | 2007 | Algebra Colloquium2007，14，4： | 1 |
| 6 | Central extensions and derivations of the Lie algebras of skew derivations for quantum torus显示文摘 | Weiqiang Lin Shaobin Tan | 2005 | Communication in Algebra2005，，33： | 1 |
| 7 | Central Extension, Derivations and Automorphism Grouj? for Lie Algebras Arising from the 2-Dimensional Toms显示文摘 | Min Xue Weiqiang Lin Shaobin Tan | 2006 | Journal of Lie Theory2006，，16： | 1 |
| 8 | Representations of the Lie algebra of derivations for quantum torus 显示文摘 | LIN Weiqiang TAN Shaobin | 2004 | J Algebra2004，275，： | 1 |
| 9 | Leibniz Central Extension on a Block Algebra显示文摘 | Wang Qing Tan Shaobin | 2007 | Alg Colloq2007，4，： | 1 |
| 10 | Whittaker modules and a class of new modules similar as Whittaker modules for the Schrodinger-Virasoro algebra显示文摘 | Zhang Xiufu Tan Shaobin Lian Haifeng | 2010 | J Math Phys2010，51，08： | 1 |
| 11 | Global smooth solution for coupled nonlinear wave equations 显示文摘 | Tan Shaobin | 1991 | Math Mech in the Appl Sci1991，14，： | 1 |
| 12 | Automorphisms and Verma modules for generalized Schr?dinger–Virasoro algebras显示文摘 | Shaobin Tan Xiufu Zhang | 2009 | Journal of Algebra2009，，4： | 1 |
| 13 | Integrable Representations for the Extended AlPine Lie Algebra Coordinated by Quantum Tori in Two Variables显示文摘 | Fei Kong Zhiqiang Li Shaobin Tan Qing Wang | 2014 | Algebra Colloquium2014，21，3： | 1 |
| 14 | Graded modules over the q-analog Virasoro-like algebra显示文摘 | Lin Weiqiang Tan Shaobin | 2008 | Journal of AIgebras and Representation Theory2008，，11： | 1 |
| 15 | Global smooth solution for a coupled nonlinear wave equations显示文摘 | Guo Boling Tan Shaobin | 1991 | Math Meth in the Appl Sci1991，14，： | 1 |
| 16 | Effect of dual targeting procyanidins nanoparticles on metabolomics of lipopolysaccharide-stimulated inflammatory macrophages显示文摘Inflammation plays an important role in the occurrence and development of many inflammatory diseases.The purpose of this study was to evaluate the anti-inflammatory effect and metabolic behavior of the dual targeting procyanidins(PC)nanoparticles on lipopolysaccharide(LPS)-stimulated inflammatory macrophages by metabolomics method.The double-targeting PC nanoparticles could specifi cally target both the CD44 receptor and mitochondria,while the single targeting PC-loaded nanoparticles that could target the CD44 receptor on the surface of macrophages.The double-targeting PC nanoparticles had better inhibitory effect than single-targeting PC nanoparticles on the leakage of lactate dehydrogenase and reactive oxygen species overexpression induced by LPS.Amino acid metabolism,energy metabolism and purine metabolism were disordered in LPS-treated group,and metabolic pathway analysis indicated that the double-targeting PC nanoparticles reversed some of LPS impacts.The changes of these potential biomarkers and their corresponding pathways are helpful to further understand the mechanism of PC nanoparticles in alleviating inflammation,and promote their application in nutrition intervention. | Shanshan Tie Lijuan Zhang Bin Li Shanghua Xing Haitao Wang Yannan Chen Weina Cui Shaobin Gu Mingqian Tan | 2023 | Food Science and Human Wellness2023，12，6： | 1 |
| 17 | Boundary ualue problem for the Landat-lifshitz equation显示文摘 | Guo Boling Tan Shaobin | | (to appear)0，，： | 1 |
| 18 | On the Asymptotic Behavior of Nonlinear Schrodinger Equations with Magnetic Effect | Guo Boling Tan Shaobin Institute of Applied Physics and Computational Mathematics Academia Sinica Beijing, 100088 China | 1995 | Acta Mathematica Sinica,English Series1995，11，2： | 0 |
| 19 | Verma modules for rank two Heisenberg-Virasoro algebra显示文摘Let■be a compatible total order on the additive group Z^2,and L be the rank two HeisenbergVirasoro algebra.For any c=(c1,c2,c3,c4)∈C^4,we define a Z^2-graded Verma module M(c,■)for L.A necessary and sufficient condition for M(c,■)to be irreducible is provided.Moreover,the maximal Z^2-graded submodules of M(c,■)are characterized when M(c,■)is reducible. | Zhiqiang Li Shaobin Tan | 2020 | Science China Mathematics2020，63，7： | 0 |
| 20 | Indecomposable representations of the Lie algebra of derivations for d-torus显示文摘Let DerA be the Lie algebra of derivations of the d-torus A = C[t1± 1, . . . , td±1]. By applying Shen-Larsson’s functors we get a class of indecomposable DerA-modules from finite-dimensional indecomposable gld-modules. We also give a complete description of the submodules of these indecomposable DerA-modules. Our results generalize those obtained by Rao. | Lian HaiFeng Tan ShaoBin Zeng Bo | 2010 | Science China Mathematics2010，53，2： | 0 |
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