# zbMATH — the first resource for mathematics

## Gao, Yun

Compute Distance To:
 Author ID: gao.yun Published as: Gao, Y.; Gao, Yun
 Documents Indexed: 120 Publications since 1986, including 3 Books
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#### Co-Authors

 13 single-authored 10 Du, Rong 7 Fu, Fangwei 7 Jing, Naihuan 6 Allison, Bruce N. 6 Hu, Naihong 5 Berman, Stephen 5 Chen, Hongjia 5 Gao, Wei 5 Jiang, Zhaolin 5 Shang, Shikui 5 Wang, Yongjie 4 Gao, Jian 3 Cao, Yonglin 3 Chang, Zhihua 3 Farahani, Mohammad Reza 3 Gong, Yanpeng 3 Yau, Stephen Shing-Toung 3 Zeng, Ziting 3 Zheng, Yelong 2 Aizicovici, Sergiu 2 Benkart, Georgia M. 2 Bergeron, Nantel 2 Bhargava, Sandeep 2 Bienenstock, Elie 2 Jiang, Xiaoyu 2 Krylyuk, Yaroslav S. 2 Pianzola, Arturo 2 Tan, Shao Bin 2 Wang, Ligong 2 Wu, Tingting 2 Zheng, Yiwei 1 Azam, Saeid 1 Black, Michael J. 1 Cai, Yanan 1 Cao, Jinde 1 Cao, Yuan 1 Chen, Fulin 1 Chen, Yin 1 Cheng, Jiangang 1 Dinh, Hai Quang 1 Donoghue, John P. 1 Fang, Weijun 1 Gao, Jining 1 Gao, Jiwen 1 Gao, Ming 1 Ge, Yan 1 Hu, Manfeng 1 Huang, Youqun 1 Kontoyiannis, Ioannis 1 Lau, Michael W. 1 Le, Lihua 1 Liang, Li 1 Liu, Dong 1 Liu, Yongkui 1 Liu, Yongshan 1 Meng, Qingchun 1 Misra, Kailash C. 1 Neher, Erhard 1 Ng, SuiChung 1 Pan, Aixian 1 Reeves, Stanley J. 1 Shi, Baochang 1 Shi, Yiqian 1 Sriboonchitta, Songsak 1 Su, Xiaohai 1 Su, Yucai 1 Tan, Sheng-Li 1 Wang, Linsong 1 Wei, Zhengang 1 Wen, Shih-Liang 1 Wu, Wei 1 Xia, Limeng 1 Xu, Xianyun 1 Yan, Chuanjun 1 Yang, Yongqing 1 Yao, Zhenhan 1 Zhang, Honglian 1 Zhang, Hui 1 Zhang, Yungang 1 Zhao, Tingting 1 Zheng, Xiaoping
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#### Serials

 10 Journal of Algebra 5 Communications in Algebra 4 Applicable Algebra in Engineering, Communication and Computing 3 Abstract and Applied Analysis 3 Frontiers of Mathematics in China 3 Science China. Mathematics 2 Communications in Mathematical Physics 2 Discrete Mathematics 2 Canadian Journal of Mathematics 2 Journal of Pure and Applied Algebra 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Journal of Applied Mathematics and Stochastic Analysis 2 Algebra Colloquium 2 The Asian Journal of Mathematics 2 Algebras and Representation Theory 2 Far East Journal of Mathematical Sciences 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Geometriae Dedicata 1 Journal of Functional Analysis 1 The Journal of the Indian Mathematical Society. New Series 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Journal of Mathematics. Wuhan University 1 Journal of Hunan University 1 Circuits, Systems, and Signal Processing 1 Journal of Tsinghua University. Science and Technology 1 Science in China. Series A 1 Neural Computation 1 Communications in Analysis and Geometry 1 Finite Fields and their Applications 1 Selecta Mathematica. New Series 1 Methods and Applications of Analysis 1 Taiwanese Journal of Mathematics 1 Basic Sciences Journal of Textile Universities 1 Applied Mathematics E-Notes 1 Entropy 1 Journal of Yunnan University. Natural Sciences Edition 1 Information 1 Journal of Software 1 Control and Decision 1 Periodical of Ocean University of China 1 Contemporary Mathematics 1 Advances in Mathematics of Communications 1 Journal of Computer Applications 1 Cryptography and Communications 1 Iranian Journal of Mathematical Chemistry 1 Transactions on Combinatorics 1 Journal of the Operations Research Society of China 1 Applied Mathematics and Nonlinear Sciences
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#### Fields

 48 Nonassociative rings and algebras (17-XX) 11 Information and communication theory, circuits (94-XX) 10 Number theory (11-XX) 7 Algebraic geometry (14-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Associative rings and algebras (16-XX) 6 Computer science (68-XX) 5 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Numerical analysis (65-XX) 3 $$K$$-theory (19-XX) 3 Partial differential equations (35-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 Commutative algebra (13-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

74 Publications have been cited 736 times in 399 Documents Cited by Year
Extended affine Lie algebras and their root systems. Zbl 0879.17012
Allison, Bruce N.; Azam, Saeid; Berman, Stephen; Gao, Yun; Pianzola, Arturo
1997
Quantum tori and the structure of elliptic quasi-simple Lie algebras. Zbl 0847.17009
Berman, Stephen; Gao, Yun; Krylyuk, Yaroslav S.
1996
The root system and the core of an extended affine Lie algebra. Zbl 1058.17012
Allison, Bruce N.; Gao, Yun
2001
Drinfel’d doubles and Lusztig’s symmetries of two-parameter quantum groups. Zbl 1148.17007
Bergeron, Nantel; Gao, Yun; Hu, Naihong
2006
The alternative torus and the structure of elliptic quasi-simple Lie algebras of type $$A_ 2$$. Zbl 0847.17010
Berman, Stephen; Gao, Yun; Krylyuk, Yaroslav; Neher, Erhard
1995
Representations of extended affine Lie algebras coordinatized by certain quantum tori. Zbl 0958.17008
Gao, Yun
2000
Vertex operators arising from the homogeneous realization for $$\widehat{\text{gl}}_N$$. Zbl 0982.17012
Gao, Yun
2000
A characterization of affine Kac-Moody Lie algebras. Zbl 0879.17013
Allison, Bruce N.; Berman, Stephen; Gao, Yun; Pianzola, Arturo
1997
Fermionic and bosonic representations of the extended affine Lie algebra $$\widetilde{{\mathfrak gl}_N(\mathbb{C}_q)}$$. Zbl 1040.17017
Gao, Yun
2002
Central extensions of Lie algebras graded by finite root systems. Zbl 0989.17004
Allison, Bruce; Benkart, Georgia; Gao, Yun
2000
Demyanov difference of two sets and optimality conditions of Lagrange multiplier type for constrained quasidifferential optimization. Zbl 1050.90568
Gao, Y.
2000
Representations of two-parameter quantum orthogonal and symplectic groups. Zbl 1148.17008
Bergeron, Nantel; Gao, Yun; Hu, Naihong
2007
Lie algebras graded by the root systems $$BC_r$$, $$r\geq 2$$. Zbl 0998.17031
Allison, Bruce; Benkart, Georgia; Gao, Yun
2002
Steinberg unitary Lie algebras and skew-dihedral homology. Zbl 0837.17011
Gao, Yun
1996
Bayesian population decoding of motor cortical activity using a Kalman filter. Zbl 1079.92017
Wu, Wei; Gao, Yun; Bienenstock, Elie; Donoghue, John P.; Black, Michael J.
2006
Universal coverings of Steinberg Lie algebras of small characteristic. Zbl 1136.17016
Gao, Yun; Shang, Shikui
2007
Repeated root cyclic $$\mathbb{F}_q$$-linear codes over $$\mathbb{F}_{q^l}$$. Zbl 1320.94092
Cao, Yonglin; Gao, Yun
2015
Hermitian representations of the extended affine Lie algebra $$\widehat {\mathfrak {gl}_2(\mathbb {C}_q)}$$. Zbl 1106.17030
Gao, Yun; Zeng, Ziting
2006
Functional differential equations with nonlocal initial conditions. Zbl 0883.34065
Aizicovici, Sergiu; Gao, Yun
1997
Central quotients and coverings of Steinberg unitary Lie algebras. Zbl 0861.17011
Allison, Bruce N.; Gao, Yun
1996
The refined theory of magnetoelastic rectangular beams. Zbl 1067.74019
Gao, Y.; Wang, M. Z.
2004
A unified view of some vertex operator constructions. Zbl 1035.17038
Berman, Stephen; Gao, Yun; Tan, Shaobin
2003
Leibniz homology of unitary Lie algebras. Zbl 0944.17001
Gao, Yun
1999
Invertibility and explicit inverses of circulant-type matrices with $$k$$-Fibonacci and $$k$$-Lucas numbers. Zbl 07021976
Jiang, Zhaolin; Gong, Yanpeng; Gao, Yun
2014
The refined theory of beams for a transversely isotropic body. Zbl 1140.74474
Gao, Y.; Xu, B. X.; Zhao, B. S.
2007
A refined beam theory based on the refined plate theory. Zbl 1078.74022
Gao, Y.; Wang, M. Z.
2005
The second Leibniz homology group for Kac-Moody Lie algebras. Zbl 1028.17018
Gao, Yun
2000
Canonical maps of surfaces defined by abelian covers. Zbl 1318.14037
Du, Rong; Gao, Yun
2014
Estimating the entropy of binary time series: methodology, some theory and a simulation study. Zbl 1179.94045
Gao, Yun; Kontoyiannis, Ioannis; Bienenstock, Elie
2008
The refined theory of rectangular curved beams. Zbl 1117.74031
Gao, Y.; Wang, M. Z.; Zhao, B. S.
2007
On the Steinberg Lie algebras $$st_ 2(R)$$. Zbl 0822.17018
Gao, Yun
1993
Central extensions of Steinberg Lie superalgebras of small rank. Zbl 1210.17027
Shang, Shikui; Chen, Hongjia; Gao, Yun
2007
$$U_q(\widehat{\mathfrak{gl}}_N)$$ action on $$\widehat{\mathfrak{gl}}_N$$-modules and quantum toroidal algebras. Zbl 1042.17013
Gao, Yun; Jing, Naihuan
2004
Ontology optimization tactics via distance calculating. Zbl 1423.68490
Gao, Yun; Reza Farahani, Mohammad; Gao, Wei
2016
Two-parameter quantum affine algebra of type $$G_2^{(1)}$$, Drinfeld realization and vertex representation. Zbl 1315.81055
Gao, Yun; Hu, Naihong; Zhang, Honglian
2015
Numerical solution of Burgers’ equation by lattice Boltzmann method. Zbl 1291.65313
Gao, Yun; Le, Li-Hua; Shi, Bao-Chang
2013
$$B(0,N)$$-graded Lie superalgebras coordinatized by quantum tori. Zbl 1157.17303
Chen, Hongjia; Gao, Yun; Shang, Shikui
2006
Representation of the Clarke generalized Jacobian via the quasidifferential. Zbl 1059.49023
Gao, Y.
2004
Involutive Lie algebras graded by finite root systems and compact forms of IM algebras. Zbl 0884.17012
Gao, Yun
1996
Type 2 constacyclic codes over $$\mathbb{F}_{2^m} [u] / \langle u^3 \rangle$$ of oddly even length. Zbl 1417.94112
Cao, Yuan; Cao, Yonglin; Dinh, Hai Q.; Fu, Fang-Wei; Gao, Yun; Sriboonchitta, Songsak
2019
Representations of the affine-Virasoro algebra of type $$A_1$$. Zbl 1404.17042
Gao, Yun; Hu, Naihong; Liu, Dong
2016
Twisted vertex operators and unitary Lie algebras. Zbl 1388.17012
Chen, Fulin; Gao, Yun; Jing, Naihuan; Tan, Shaobin
2015
Circulant type matrices with the sum and product of Fibonacci and Lucas numbers. Zbl 07022251
Jiang, Zhaolin; Gong, Yanpeng; Gao, Yun
2014
A family of representations of the Lie superalgebra $$\widehat{\mathfrak{gl}_{1|l-1}}(\mathbb C_q)$$. Zbl 1317.17012
Bhargava, Sandeep; Chen, Hongjia; Gao, Yun
2013
Irreducible Wakimoto-like modules for the affine Lie algebra $$\hat{\mathfrak{gl}}_n$$. Zbl 1351.17029
Gao, Yun; Zeng, Ziting
2012
A note on finite abelian covers. Zbl 1247.14013
Gao, Yun
2011
$$BC_{N}$$-graded Lie algebras arising from fermionic representations. Zbl 1171.17305
Chen, Hongjia; Gao, Yun
2007
Irreducible quasi-finite representations of a Block type Lie algebra. Zbl 1291.17006
Gao, Ming; Gao, Yun; Su, Yucai
2014
A quantized Tits-Kantor-Koecher algebra. Zbl 1252.17012
Gao, Yun; Jing, Naihuan
2010
Differences of polyhedra in matrix space and their applications to nonsmooth analysis. Zbl 1123.49012
Gao, Y.
2006
Algebras over the Fock space. Zbl 1012.17007
Gao, Yun; Jing, Naihuan
2001
The degeneracy of extended affine Lie algebras. Zbl 0911.17018
Gao, Yun
1998
On Jacobsthal and Jacobsthal-Lucas circulant type matrices. Zbl 1351.15016
Gong, Yanpeng; Jiang, Zhaolin; Gao, Yun
2015
A family of representations of the Lie superalgebra $$\widehat{\mathfrak{gl}_{m | n}}(\mathbb{C}_q)$$. Zbl 1392.17024
Wang, Yongjie; Zeng, Ziting; Gao, Yun
2015
Determinants and inverses of skew and skew left circulant matrices involving the $$k$$-Lucas numbers in communications. II. Zbl 1390.15021
Jiang, Xiao-Yu; Gao, Yun; Jiang, Zhao-Lin
2013
Determinants and inverses of skew and skew left circulant matrices involving the $$k$$-Fibonacci numbers in communications. I. Zbl 1276.15005
Jiang, Xiao-Yu; Gao, Yun; Jiang, Zhao-Lin
2013
Realizations of $$BC_{r}$$-graded intersection matrix algebras with grading subalgebras of type $$B_{r}, r\geq 3$$. Zbl 1286.17021
Bhargava, Sandeep; Gao, Yun
2013
Strong and weak stability of $$k$$-partite ranking algorithms. Zbl 1323.68433
Gao, Wei; Gao, Yun; Zhang, Yungang
2012
Ideals and simplicity of unitary Lie algebras. Zbl 1294.17017
Zheng, Yelong; Chang, Zhihua; Gao, Yun
2011
An inexact SQP Newton method for convex SC$$^{1}$$ minimization problems. Zbl 1197.90314
Chen, Y. D.; Gao, Y.; Liu, Y.-J.
2010
The decomposed form of magnetoelastic beams with free faces. Zbl 1123.74033
Gao, Y.; Xu, B. X.; Zhao, B. S.
2007
Quantum codes from cyclic codes over the ring $$\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_r\mathbb{F}_q$$. Zbl 07055748
Gao, Yun; Gao, Jian; Fu, Fang-Wei
2019
On rational proper mappings among generalized complex balls. Zbl 1392.32005
Gao, Yun; Ng, Sui-Chung
2018
On the canonical degrees of Gorenstein threefolds of general type. Zbl 1391.14077
Du, Rong; Gao, Yun
2016
Finite-dimensional representations for a class of generalized intersection matrix Lie algebras. Zbl 1405.17016
Gao, Yun; Xia, Li-Meng
2016
Simple Harish-Chandra supermodules over the super Schrödinger algebra. Zbl 1403.17008
Cai, Yanan; Gao, Yun; Wang, Yongjie
2015
New invariants for complex manifolds and rational singularities. Zbl 1311.14005
Du, Rong; Gao, Yun
2014
Some remarks on Yau’s conjecture and complex Plateau problem. Zbl 1310.32039
Du, Rong; Gao, Yun
2014
Finite dimensional irreducible representations of elementary unitary Lie algebras over quantum tori. Zbl 1376.17019
Chang, Zhihua; Gao, Yun; Zheng, Yelong
2013
Analytical and numerical studies on simple shear of a bimaterial strip by using elastic micromorphic theory. Zbl 1291.74057
Zhang, Z. H.; Nie, J. F.; Liu, Z. L.; Gao, Y.; Zhuang, Z.
2012
Wedge indentation of a thin film on a substrate based on micromorphic plasticity. Zbl 1398.74223
Zhang, Z. H.; Liu, Z. L.; Liu, X. M.; Gao, Y.; Zhuang, Z.
2011
Explicit construction of moduli space of bounded complete Reinhardt domains in $$\mathbb C^n$$. Zbl 1229.32004
Du, Rong; Gao, Yun; Yau, Stephen S. T.
2010
On the boundary conditions for transversely isotropic piezoelectric plates. Zbl 1192.74231
Xu, S. P.; Gao, Y.; Wang, W.
2007
Central extensions of nonsymmetrizable Kac-Moody algebras over commutative algebras. Zbl 0807.17020
Gao, Yun
1994
Type 2 constacyclic codes over $$\mathbb{F}_{2^m} [u] / \langle u^3 \rangle$$ of oddly even length. Zbl 1417.94112
Cao, Yuan; Cao, Yonglin; Dinh, Hai Q.; Fu, Fang-Wei; Gao, Yun; Sriboonchitta, Songsak
2019
Quantum codes from cyclic codes over the ring $$\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_r\mathbb{F}_q$$. Zbl 07055748
Gao, Yun; Gao, Jian; Fu, Fang-Wei
2019
On rational proper mappings among generalized complex balls. Zbl 1392.32005
Gao, Yun; Ng, Sui-Chung
2018
Ontology optimization tactics via distance calculating. Zbl 1423.68490
Gao, Yun; Reza Farahani, Mohammad; Gao, Wei
2016
Representations of the affine-Virasoro algebra of type $$A_1$$. Zbl 1404.17042
Gao, Yun; Hu, Naihong; Liu, Dong
2016
On the canonical degrees of Gorenstein threefolds of general type. Zbl 1391.14077
Du, Rong; Gao, Yun
2016
Finite-dimensional representations for a class of generalized intersection matrix Lie algebras. Zbl 1405.17016
Gao, Yun; Xia, Li-Meng
2016
Repeated root cyclic $$\mathbb{F}_q$$-linear codes over $$\mathbb{F}_{q^l}$$. Zbl 1320.94092
Cao, Yonglin; Gao, Yun
2015
Two-parameter quantum affine algebra of type $$G_2^{(1)}$$, Drinfeld realization and vertex representation. Zbl 1315.81055
Gao, Yun; Hu, Naihong; Zhang, Honglian
2015
Twisted vertex operators and unitary Lie algebras. Zbl 1388.17012
Chen, Fulin; Gao, Yun; Jing, Naihuan; Tan, Shaobin
2015
On Jacobsthal and Jacobsthal-Lucas circulant type matrices. Zbl 1351.15016
Gong, Yanpeng; Jiang, Zhaolin; Gao, Yun
2015
A family of representations of the Lie superalgebra $$\widehat{\mathfrak{gl}_{m | n}}(\mathbb{C}_q)$$. Zbl 1392.17024
Wang, Yongjie; Zeng, Ziting; Gao, Yun
2015
Simple Harish-Chandra supermodules over the super Schrödinger algebra. Zbl 1403.17008
Cai, Yanan; Gao, Yun; Wang, Yongjie
2015
Invertibility and explicit inverses of circulant-type matrices with $$k$$-Fibonacci and $$k$$-Lucas numbers. Zbl 07021976
Jiang, Zhaolin; Gong, Yanpeng; Gao, Yun
2014
Canonical maps of surfaces defined by abelian covers. Zbl 1318.14037
Du, Rong; Gao, Yun
2014
Circulant type matrices with the sum and product of Fibonacci and Lucas numbers. Zbl 07022251
Jiang, Zhaolin; Gong, Yanpeng; Gao, Yun
2014
Irreducible quasi-finite representations of a Block type Lie algebra. Zbl 1291.17006
Gao, Ming; Gao, Yun; Su, Yucai
2014
New invariants for complex manifolds and rational singularities. Zbl 1311.14005
Du, Rong; Gao, Yun
2014
Some remarks on Yau’s conjecture and complex Plateau problem. Zbl 1310.32039
Du, Rong; Gao, Yun
2014
Numerical solution of Burgers’ equation by lattice Boltzmann method. Zbl 1291.65313
Gao, Yun; Le, Li-Hua; Shi, Bao-Chang
2013
A family of representations of the Lie superalgebra $$\widehat{\mathfrak{gl}_{1|l-1}}(\mathbb C_q)$$. Zbl 1317.17012
Bhargava, Sandeep; Chen, Hongjia; Gao, Yun
2013
Determinants and inverses of skew and skew left circulant matrices involving the $$k$$-Lucas numbers in communications. II. Zbl 1390.15021
Jiang, Xiao-Yu; Gao, Yun; Jiang, Zhao-Lin
2013
Determinants and inverses of skew and skew left circulant matrices involving the $$k$$-Fibonacci numbers in communications. I. Zbl 1276.15005
Jiang, Xiao-Yu; Gao, Yun; Jiang, Zhao-Lin
2013
Realizations of $$BC_{r}$$-graded intersection matrix algebras with grading subalgebras of type $$B_{r}, r\geq 3$$. Zbl 1286.17021
Bhargava, Sandeep; Gao, Yun
2013
Finite dimensional irreducible representations of elementary unitary Lie algebras over quantum tori. Zbl 1376.17019
Chang, Zhihua; Gao, Yun; Zheng, Yelong
2013
Irreducible Wakimoto-like modules for the affine Lie algebra $$\hat{\mathfrak{gl}}_n$$. Zbl 1351.17029
Gao, Yun; Zeng, Ziting
2012
Strong and weak stability of $$k$$-partite ranking algorithms. Zbl 1323.68433
Gao, Wei; Gao, Yun; Zhang, Yungang
2012
Analytical and numerical studies on simple shear of a bimaterial strip by using elastic micromorphic theory. Zbl 1291.74057
Zhang, Z. H.; Nie, J. F.; Liu, Z. L.; Gao, Y.; Zhuang, Z.
2012
A note on finite abelian covers. Zbl 1247.14013
Gao, Yun
2011
Ideals and simplicity of unitary Lie algebras. Zbl 1294.17017
Zheng, Yelong; Chang, Zhihua; Gao, Yun
2011
Wedge indentation of a thin film on a substrate based on micromorphic plasticity. Zbl 1398.74223
Zhang, Z. H.; Liu, Z. L.; Liu, X. M.; Gao, Y.; Zhuang, Z.
2011
A quantized Tits-Kantor-Koecher algebra. Zbl 1252.17012
Gao, Yun; Jing, Naihuan
2010
An inexact SQP Newton method for convex SC$$^{1}$$ minimization problems. Zbl 1197.90314
Chen, Y. D.; Gao, Y.; Liu, Y.-J.
2010
Explicit construction of moduli space of bounded complete Reinhardt domains in $$\mathbb C^n$$. Zbl 1229.32004
Du, Rong; Gao, Yun; Yau, Stephen S. T.
2010
Estimating the entropy of binary time series: methodology, some theory and a simulation study. Zbl 1179.94045
Gao, Yun; Kontoyiannis, Ioannis; Bienenstock, Elie
2008
Representations of two-parameter quantum orthogonal and symplectic groups. Zbl 1148.17008
Bergeron, Nantel; Gao, Yun; Hu, Naihong
2007
Universal coverings of Steinberg Lie algebras of small characteristic. Zbl 1136.17016
Gao, Yun; Shang, Shikui
2007
The refined theory of beams for a transversely isotropic body. Zbl 1140.74474
Gao, Y.; Xu, B. X.; Zhao, B. S.
2007
The refined theory of rectangular curved beams. Zbl 1117.74031
Gao, Y.; Wang, M. Z.; Zhao, B. S.
2007
Central extensions of Steinberg Lie superalgebras of small rank. Zbl 1210.17027
Shang, Shikui; Chen, Hongjia; Gao, Yun
2007
$$BC_{N}$$-graded Lie algebras arising from fermionic representations. Zbl 1171.17305
Chen, Hongjia; Gao, Yun
2007
The decomposed form of magnetoelastic beams with free faces. Zbl 1123.74033
Gao, Y.; Xu, B. X.; Zhao, B. S.
2007
On the boundary conditions for transversely isotropic piezoelectric plates. Zbl 1192.74231
Xu, S. P.; Gao, Y.; Wang, W.
2007
Drinfel’d doubles and Lusztig’s symmetries of two-parameter quantum groups. Zbl 1148.17007
Bergeron, Nantel; Gao, Yun; Hu, Naihong
2006
Bayesian population decoding of motor cortical activity using a Kalman filter. Zbl 1079.92017
Wu, Wei; Gao, Yun; Bienenstock, Elie; Donoghue, John P.; Black, Michael J.
2006
Hermitian representations of the extended affine Lie algebra $$\widehat {\mathfrak {gl}_2(\mathbb {C}_q)}$$. Zbl 1106.17030
Gao, Yun; Zeng, Ziting
2006
$$B(0,N)$$-graded Lie superalgebras coordinatized by quantum tori. Zbl 1157.17303
Chen, Hongjia; Gao, Yun; Shang, Shikui
2006
Differences of polyhedra in matrix space and their applications to nonsmooth analysis. Zbl 1123.49012
Gao, Y.
2006
A refined beam theory based on the refined plate theory. Zbl 1078.74022
Gao, Y.; Wang, M. Z.
2005
The refined theory of magnetoelastic rectangular beams. Zbl 1067.74019
Gao, Y.; Wang, M. Z.
2004
$$U_q(\widehat{\mathfrak{gl}}_N)$$ action on $$\widehat{\mathfrak{gl}}_N$$-modules and quantum toroidal algebras. Zbl 1042.17013
Gao, Yun; Jing, Naihuan
2004
Representation of the Clarke generalized Jacobian via the quasidifferential. Zbl 1059.49023
Gao, Y.
2004
A unified view of some vertex operator constructions. Zbl 1035.17038
Berman, Stephen; Gao, Yun; Tan, Shaobin
2003
Fermionic and bosonic representations of the extended affine Lie algebra $$\widetilde{{\mathfrak gl}_N(\mathbb{C}_q)}$$. Zbl 1040.17017
Gao, Yun
2002
Lie algebras graded by the root systems $$BC_r$$, $$r\geq 2$$. Zbl 0998.17031
Allison, Bruce; Benkart, Georgia; Gao, Yun
2002
The root system and the core of an extended affine Lie algebra. Zbl 1058.17012
Allison, Bruce N.; Gao, Yun
2001
Algebras over the Fock space. Zbl 1012.17007
Gao, Yun; Jing, Naihuan
2001
Representations of extended affine Lie algebras coordinatized by certain quantum tori. Zbl 0958.17008
Gao, Yun
2000
Vertex operators arising from the homogeneous realization for $$\widehat{\text{gl}}_N$$. Zbl 0982.17012
Gao, Yun
2000
Central extensions of Lie algebras graded by finite root systems. Zbl 0989.17004
Allison, Bruce; Benkart, Georgia; Gao, Yun
2000
Demyanov difference of two sets and optimality conditions of Lagrange multiplier type for constrained quasidifferential optimization. Zbl 1050.90568
Gao, Y.
2000
The second Leibniz homology group for Kac-Moody Lie algebras. Zbl 1028.17018
Gao, Yun
2000
Leibniz homology of unitary Lie algebras. Zbl 0944.17001
Gao, Yun
1999
The degeneracy of extended affine Lie algebras. Zbl 0911.17018
Gao, Yun
1998
Extended affine Lie algebras and their root systems. Zbl 0879.17012
Allison, Bruce N.; Azam, Saeid; Berman, Stephen; Gao, Yun; Pianzola, Arturo
1997
A characterization of affine Kac-Moody Lie algebras. Zbl 0879.17013
Allison, Bruce N.; Berman, Stephen; Gao, Yun; Pianzola, Arturo
1997
Functional differential equations with nonlocal initial conditions. Zbl 0883.34065
Aizicovici, Sergiu; Gao, Yun
1997
Quantum tori and the structure of elliptic quasi-simple Lie algebras. Zbl 0847.17009
Berman, Stephen; Gao, Yun; Krylyuk, Yaroslav S.
1996
Steinberg unitary Lie algebras and skew-dihedral homology. Zbl 0837.17011
Gao, Yun
1996
Central quotients and coverings of Steinberg unitary Lie algebras. Zbl 0861.17011
Allison, Bruce N.; Gao, Yun
1996
Involutive Lie algebras graded by finite root systems and compact forms of IM algebras. Zbl 0884.17012
Gao, Yun
1996
The alternative torus and the structure of elliptic quasi-simple Lie algebras of type $$A_ 2$$. Zbl 0847.17010
Berman, Stephen; Gao, Yun; Krylyuk, Yaroslav; Neher, Erhard
1995
Central extensions of nonsymmetrizable Kac-Moody algebras over commutative algebras. Zbl 0807.17020
Gao, Yun
1994
On the Steinberg Lie algebras $$st_ 2(R)$$. Zbl 0822.17018
Gao, Yun
1993
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#### Cited by 440 Authors

 26 Gao, Yun 25 Azam, Saeid 25 Tan, Shao Bin 18 Hu, Naihong 18 Jing, Naihuan 17 Pianzola, Arturo 12 Neher, Erhard 12 Yousofzadeh, Malihe 12 Zhao, Kaiming 11 Liu, Dong 11 Yoshii, Yoji 10 Cao, Yonglin 10 Cao, Yuan 10 Zhang, Honglian 9 Dinh, Hai Quang 9 Gao, Yang 9 Jiang, Zhaolin 8 Berman, Stephen 8 Chen, Hongjia 7 Allison, Bruce N. 7 Chen, Fulin 7 Fu, Fangwei 6 Eswara Rao, Senapathi 6 Faulkner, John R. 6 Guo, Xiangqian 6 Li, Haisheng 6 Lin, Weiqiang 6 Pei, Yufeng 6 Wang, Yongjie 5 Billig, Yuly 5 Chang, Zhihua 5 Kong, Fei 5 Liu, Genqiang 5 Shahsanaei, Valiollah 5 Su, Yucai 5 Wang, Qing 5 Zhao, Baosheng 4 Chernousov, Vladimir I. 4 Gao, Jian 4 Gille, Philippe 4 Jiang, Cuipo 4 Koyama, Shinsuke 4 Lü, Rencai 4 Shang, Shikui 4 Sriboonchitta, Songsak 4 Sun, Jie 4 Xu, Chengkang 4 Zeng, Ziting 3 Bag, Tushar 3 Benkart, Georgia M. 3 Cheng, Jin 3 Du, Rong 3 Elduque, Alberto 3 Gao, Yan 3 Gao, Yaxin 3 Kass, Robert E. 3 Kharchenko, Vladislav K. 3 Li, JunBo 3 Lu, Fuliang 3 Misra, Kailash C. 3 Morita, Jun 3 Prélat, Daniel 3 Upadhyay, Ashish Kumar 3 Wang, Minzhong 3 Wang, Xiuling 3 Xia, Limeng 3 Xu, Chongbin 3 Zheng, Yelong 3 Zhu, Linsheng 2 Antczak, Tadeusz 2 Awasthi, Ashish 2 Bandi, Ramakrishna 2 Batra, Punita 2 Bin, Nguyen 2 Catarino, Paula M. M. C. 2 Cessac, Bruno 2 Chase, Steven M. 2 Darehgazani, Abbas 2 Dolgopolik, Maxim Vladimirovich 2 Duff, Ana 2 Futorny, Vyacheslav M. 2 Gao, Wei 2 Gao, Yunshi 2 Garcia-Falset, Jesús 2 García Guirao, Juan Luis 2 García-Martínez, Xabier 2 Guo, Hongyan 2 Jiang, Jingjing 2 Khalili, Valiollah 2 Kong, Xiaoli 2 Ladra González, Manuel 2 Li, Min 2 Li, Zhiqiang 2 Lian, Haifeng 2 Lin, Shangyuan 2 Liu, Ming 2 Liu, Rongjia 2 Liu, Xuewen 2 Ma, Fanghui 2 Miki, Kei ...and 340 more Authors
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#### Cited in 108 Serials

 69 Journal of Algebra 37 Communications in Algebra 16 Algebra Colloquium 14 Journal of Pure and Applied Algebra 13 Acta Mechanica 13 Frontiers of Mathematics in China 11 Publications of the Research Institute for Mathematical Sciences, Kyoto University 10 Journal of Mathematical Physics 10 Abstract and Applied Analysis 8 Acta Mathematica Sinica. English Series 8 Journal of Algebra and its Applications 7 Neural Computation 6 Discrete Mathematics 6 Journal of Geometry and Physics 6 Advances in Mathematics 6 Journal of Optimization Theory and Applications 5 Mathematische Zeitschrift 5 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 5 Science in China. Series A 5 Algebras and Representation Theory 5 Communications in Contemporary Mathematics 5 Science China. Mathematics 4 Journal of Difference Equations and Applications 3 Biological Cybernetics 3 Communications in Mathematical Physics 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Computation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Forum Mathematicum 3 Linear Algebra and its Applications 3 Finite Fields and their Applications 3 Journal of Computational Neuroscience 3 European Journal of Mechanics. A. Solids 2 Letters in Mathematical Physics 2 Glasgow Mathematical Journal 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Osaka Journal of Mathematics 2 Chinese Annals of Mathematics. Series B 2 Optimization 2 Applied Mathematics Letters 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Computational and Applied Mathematics 2 Transformation Groups 2 Science in China. Series G 2 Advances in Mathematics of Communications 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 The Mathematical Intelligencer 1 Annals of the Institute of Statistical Mathematics 1 Archiv der Mathematik 1 Geometriae Dedicata 1 Information Sciences 1 Journal of Statistical Planning and Inference 1 Mechanics Research Communications 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Transactions of the Moscow Mathematical Society 1 Operations Research Letters 1 Revista Matemática Iberoamericana 1 Journal of the Ramanujan Mathematical Society 1 International Journal of Mathematics 1 Journal of Intelligent & Robotic Systems 1 Applications of Mathematics 1 International Journal of Computer Mathematics 1 Applicable Algebra in Engineering, Communication and Computing 1 Archive of Applied Mechanics 1 SIAM Journal on Optimization 1 Journal of Nonlinear Science 1 Journal of Algebraic Combinatorics 1 Computational Optimization and Applications 1 Set-Valued Analysis 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Top 1 Mathematics and Mechanics of Solids 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of the European Mathematical Society (JEMS) 1 Methodology and Computing in Applied Probability 1 Nonlinear Analysis. Real World Applications 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computational Methods and Function Theory 1 Journal of Applied Mathematics and Computing 1 Journal of Function Spaces and Applications 1 Mediterranean Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Nonlinear Science and Applications 1 Japanese Journal of Mathematics. 3rd Series ...and 8 more Serials
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#### Cited in 43 Fields

 266 Nonassociative rings and algebras (17-XX) 38 Associative rings and algebras (16-XX) 27 Group theory and generalizations (20-XX) 23 Mechanics of deformable solids (74-XX) 19 Number theory (11-XX) 17 Operations research, mathematical programming (90-XX) 17 Information and communication theory, circuits (94-XX) 16 Quantum theory (81-XX) 15 Biology and other natural sciences (92-XX) 14 Algebraic geometry (14-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Numerical analysis (65-XX) 9 Ordinary differential equations (34-XX) 9 Statistics (62-XX) 8 Operator theory (47-XX) 6 Real functions (26-XX) 6 Partial differential equations (35-XX) 6 Computer science (68-XX) 5 Category theory; homological algebra (18-XX) 5 Topological groups, Lie groups (22-XX) 5 Systems theory; control (93-XX) 4 Commutative algebra (13-XX) 4 $$K$$-theory (19-XX) 4 Geometry (51-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 2 Mathematical logic and foundations (03-XX) 2 Special functions (33-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Integral equations (45-XX) 1 Relativity and gravitational theory (83-XX)