Guang’ai Song - Author Profile

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Song, Guang’ai

Author ID:	song.guangai
Published as:	Song, Guang’ai; Song, Guang Ai; Song, Guangai; Song, Guang-ai; Song, Guang’Ai more...less

Documents Indexed:	23 Publications since 2001
Co-Authors:	15 Co-Authors with 23 Joint Publications
	446 Co-Co-Authors

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Co-Authors

0	single-authored
13	Su, Yucai
5	Wu, Yuezhu
4	Xin, Bin
3	Yue, Xiaoqing
2	Cheng, Yongsheng
2	Long, Xiaohan
2	Wang, Jiayu
1	Li, Zhongjie
1	Lu, Qiang
1	Wang, Feng-lei
1	Wang, Meiyan
1	Xia, Chunguang
1	Yang, Jing
1	Yang, Ruicheng
1	Zhu, Linsheng

all top 5

Serials

4	Algebra Colloquium
3	Communications in Algebra
3	Scientia Sinica. Mathematica
2	Mathematics in Practice and Theory
2	Science in China. Series A
2	Acta Mathematica Sinica. English Series
1	Pacific Journal of Mathematics
1	Linear Algebra and its Applications
1	Journal of Algebra and its Applications
1	Acta Mathematica Sinica. Chinese Series
1	Ludong University Journal. Natural Science Edition
1	Science China. Mathematics
1	Journal of Mathematical Research with Applications

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Fields

19	Nonassociative rings and algebras (17-XX)
1	Number theory (11-XX)
1	Commutative algebra (13-XX)
1	Associative rings and algebras (16-XX)
1	Category theory; homological algebra (18-XX)
1	Measure and integration (28-XX)
1	General topology (54-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

16 Publications have been cited 151 times in 67 Documents	Cited by ▼	Year ▼
Lie bialgebras of generalized Witt type. Zbl 1171.17007 Song, Guang’ai; Su, Yucai	44	2006
Lie bialgebras of generalized Virasoro-like type. Zbl 1116.17013 Wu, Yue Zhu; Song, Guang Ai; Su, Yu Cai	33	2006
Lie bialgebras of generalized Witt type. II. Zbl 1130.17010 Wu, Yuezhu; Song, Guang’ai; Su, Yucai	17	2007
Quantization of generalized Virasoro-like algebras. Zbl 1137.17019 Song, Guang’ai; Su, Yucai; Wu, Yuezhu	12	2008
Hamiltonian type Lie bialgebras. Zbl 1136.17018 Xin, Bin; Song, Guangai; Su, Yucai	11	2007
Quantization of Hamiltonian-type Lie algebras. Zbl 1239.17013 Song, Guang’ai; Su, Yucai; Xin, Bin	5	2009
Dual Lie bialgebras of Witt and Virasoro types. Zbl 1479.17041 Song, Guangai; Su, Yucai	5	2013
Derivations and 2-cocycles of contact Lie algebras related to locally-finite derivations. Zbl 1069.17010 Song, Guang’ai; Su, Yucai	5	2004
2-cocycles of the Lie superalgebras of Weyl type. Zbl 1103.17006 Song, Guang’ai; Su, Yucai	5	2005
Simple deformed Witt algebras. Zbl 1220.17014 Song, Guang’ai; Xia, Chunguang	3	2011
Dual Lie bialgebra structures of Poisson types. Zbl 1359.17032 Song, Guang’ai; Su, Yucai	3	2015
Dual Lie bialgebra structures of loop and current Virasoro algebras. Zbl 1487.17043 Song, Guang’ai; Su, Yucai	2	2017
Lie bialgebra structures on Lie algebras of Block type. Zbl 1220.17012 Cheng, Yongsheng; Song, Guang’ai; Xin, Bin	2	2009
The \(\sigma\)-derivations of \(\mathbb{C}[x^{\pm 1},y^{{\pm}1}]\). Zbl 1388.13054 Song, Guang’ai; Wu, Yuezhu; Xin, Bin	2	2015
Dual Lie bialgebra structures of twisted Schrödinger-Virasoro type. Zbl 1436.17029 Song, Guang’Ai; Yue, Xiaoqing	1	2018
Dual Lie bialgebra structures of \(W\)-algebra \(W(2, 2)\) type. Zbl 1435.17023 Song, Guang Ai; Su, Yu Cai; Yue, Xiao Qing	1	2019
Dual Lie bialgebra structures of \(W\)-algebra \(W(2, 2)\) type. Zbl 1435.17023 Song, Guang Ai; Su, Yu Cai; Yue, Xiao Qing	1	2019
Dual Lie bialgebra structures of twisted Schrödinger-Virasoro type. Zbl 1436.17029 Song, Guang’Ai; Yue, Xiaoqing	1	2018
Dual Lie bialgebra structures of loop and current Virasoro algebras. Zbl 1487.17043 Song, Guang’ai; Su, Yucai	2	2017
Dual Lie bialgebra structures of Poisson types. Zbl 1359.17032 Song, Guang’ai; Su, Yucai	3	2015
The \(\sigma\)-derivations of \(\mathbb{C}[x^{\pm 1},y^{{\pm}1}]\). Zbl 1388.13054 Song, Guang’ai; Wu, Yuezhu; Xin, Bin	2	2015
Dual Lie bialgebras of Witt and Virasoro types. Zbl 1479.17041 Song, Guangai; Su, Yucai	5	2013
Simple deformed Witt algebras. Zbl 1220.17014 Song, Guang’ai; Xia, Chunguang	3	2011
Quantization of Hamiltonian-type Lie algebras. Zbl 1239.17013 Song, Guang’ai; Su, Yucai; Xin, Bin	5	2009
Lie bialgebra structures on Lie algebras of Block type. Zbl 1220.17012 Cheng, Yongsheng; Song, Guang’ai; Xin, Bin	2	2009
Quantization of generalized Virasoro-like algebras. Zbl 1137.17019 Song, Guang’ai; Su, Yucai; Wu, Yuezhu	12	2008
Lie bialgebras of generalized Witt type. II. Zbl 1130.17010 Wu, Yuezhu; Song, Guang’ai; Su, Yucai	17	2007
Hamiltonian type Lie bialgebras. Zbl 1136.17018 Xin, Bin; Song, Guangai; Su, Yucai	11	2007
Lie bialgebras of generalized Witt type. Zbl 1171.17007 Song, Guang’ai; Su, Yucai	44	2006
Lie bialgebras of generalized Virasoro-like type. Zbl 1116.17013 Wu, Yue Zhu; Song, Guang Ai; Su, Yu Cai	33	2006
2-cocycles of the Lie superalgebras of Weyl type. Zbl 1103.17006 Song, Guang’ai; Su, Yucai	5	2005
Derivations and 2-cocycles of contact Lie algebras related to locally-finite derivations. Zbl 1069.17010 Song, Guang’ai; Su, Yucai	5	2004

all cited Publications top 5 cited Publications

all top 5

Cited by 69 Authors

21	Su, Yucai
15	Li, JunBo
10	Yue, Xiaoqing
9	Song, Guang’ai
9	Xin, Bin
6	Xu, Ying
6	Yang, Hengyun
5	Fa, Huanxia
5	Wu, Yuezhu
5	Yuan, Lamei
4	Wang, Wei
3	Cheng, Yongsheng
3	Han, Jianzhi
3	Liu, Dong
3	Wu, Yongping
3	Zhu, Linsheng
2	Arutyunov, Andronick Aramovich
2	Chen, Haibo
2	Pei, Yufeng
2	Xu, Shuoyang
2	Zhu, Xiaoyu
1	Alekseev, Aleksandr Vladimirovich
1	Alhussain, Ziyad Ali
1	Borowiec, Andrzej Zdzisław
1	Brocki, Lennart
1	Calderón Martín, Antonio Jesús
1	Chen, Liangyun
1	Chen, Qiufan
1	Chi, Lili
1	Dai, Xiansheng
1	Elmonser, Hédi Ben
1	Ettaieb, Amine
1	Fan, Guangzhe
1	Fu, Jiayuan
1	Gao, Shoulan
1	Gao, Yongcun
1	He, Caixia
1	Hu, Naihong
1	Jiang, Qifen
1	Kowalski-Glikman, Jerzy
1	Kreusch, Marie
1	Li, Meijun
1	Li, Yanjie
1	Liu, Lijuan
1	Lu, Jiafeng
1	Melong, Fridolin
1	Rebeï, Habib
1	Riahi, Anis
1	Shen, Ran
1	Shi, Yiqian
1	Silvestrov, Sergei D.
1	Sun, Jiancai
1	Tang, Xiaomin
1	Unger, Josua
1	Wang, Bin
1	Wang, Hao
1	Wang, Song
1	Wang, Xingting
1	Wang, Xiuling
1	Wu, Henan
1	Wulkenhaar, Raimar
1	Xia, Chunguang
1	Xu, Jinli
1	Yao, Tingfu
1	Yu, Yafeng
1	Zhang, Liangyun
1	Zheng, Yelong
1	Zhu, Xinyun
1	Zhuang, Guangbin

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Cited in 23 Serials

12	Algebra Colloquium
10	Communications in Algebra
8	Frontiers of Mathematics in China
7	Acta Mathematica Sinica. English Series
4	Journal of Mathematical Physics
3	Journal of Algebra
3	Science in China. Series A
2	Journal of Geometry and Physics
2	Chinese Annals of Mathematics. Series B
2	Science China. Mathematics
1	Letters in Mathematical Physics
1	Chaos, Solitons and Fractals
1	Journal of Pure and Applied Algebra
1	International Journal of Mathematics
1	Linear Algebra and its Applications
1	Open Systems & Information Dynamics
1	Journal of High Energy Physics
1	Journal of Algebra and its Applications
1	Mediterranean Journal of Mathematics
1	Asian-European Journal of Mathematics
1	Advances in Mathematical Physics
1	Vestnik Rossiĭskikh Universitetov. Matematika
1	Frontiers of Mathematics

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Cited in 12 Fields

63	Nonassociative rings and algebras (17-XX)
10	Associative rings and algebras (16-XX)
9	Quantum theory (81-XX)
2	Commutative algebra (13-XX)
1	General algebraic systems (08-XX)
1	Number theory (11-XX)
1	Algebraic geometry (14-XX)
1	Harmonic analysis on Euclidean spaces (42-XX)
1	Functional analysis (46-XX)
1	Operator theory (47-XX)
1	Statistical mechanics, structure of matter (82-XX)
1	Relativity and gravitational theory (83-XX)

Song, Guang’ai

Co-Authors

Serials

Fields

Publications by Year

Citations contained in zbMATH Open

Cited by 69 Authors

Cited in 23 Serials

Cited in 12 Fields

Citations by Year