
刘根强
姓名:刘根强
职称:副教授
办公室:数学院附一楼西侧
办公电话:
E-mail:liugenqiangbnu@126.com,liugenqiang@amss.ac.cn
研究方向:代数学、
教育背景:
2009.09-2012.06, 博士, 中科院数学研究所, 基础数学专业
2005.09-2008.06, 硕士, 北京师范大学, 基础数学专业
2001.09-2005.07, 学士, 河南师范大学, 数学与应用数学专业
工作经历:
2012.7-至今,河南大学, 讲师,副教授
研究领域:
李代数与结合代数的表示理论
代表性学术论文:
1. Brešar, Matej; Guo, Xiangqian; Liu, Genqiang; Lü, Rencai; Zhao, Kaiming; Zero product determined Lie algebras. Eur. J. Math. 5 (2019), no. 2, 424–453.
2. Guo, Xiangqian; Liu, Genqiang; Jet modules for the centerless Virasoro-like algebra. J. Algebra Appl. 18 (2019), no. 1, 1950002, 24 pp.
3. Liu, Genqiang; Lu, Rencai; Zhao, Kaiming; Irreducible Witt modules from Weyl modules and gln-modules. J. Algebra 511 (2018), 164–181.
4. Liu, Genqiang; Li, Yang; Wang, Yihan; Localization of highest weight modules of a class of extended affine Lie algebras. J. Geom. Phys. 129 (2018), 208–216.
5. Cai, Yan-an; Liu, Genqiang; Nilsson, Jonathan; Zhao, Kaiming; Generalized Verma modules over sln+2 induced from U(hn)-free sln+1-modules. J. Algebra 502 (2018), 146–162.
6. Futorny, Vyacheslav; Liu, Genqiang; Lu, Rencai; Zhao, Kaiming; New families of irreducible weight modules over sl3. J. Algebra 501 (2018), 458–472.
7. Liu, Genqiang; Zhao, Yueqiang; Generalized polynomial modules over the Virasoro algebra. Proc. Amer. Math. Soc. 144 (2016), no. 12, 5103–5112.
8. Liu, Genqiang; Zhao, Yueqiang; Irreducible A(1)1-modules from modules over two-dimensional non-abelian Lie algebra. Front. Math. China 11 (2016), no. 2, 353–363.
9. Liu, Genqiang; Zhao, Kaiming; Classification of irreducible bounded weight modules over the derivation Lie algebras of quantum tori. Linear Algebra Appl. 495 (2016), 11–23.
10. Liu, Genqiang; Zhao, Kaiming; New irreducible weight modules over Witt algebras with infinite-dimensional weight spaces. Bull. Lond. Math. Soc. 47 (2015), no. 5, 789–795.
11. Liu, Genqiang; Lu, Rencai; Zhao, Kaiming; A class of simple weight Virasoro modules. J. Algebra 424 (2015), 506–521.
12. Liu, Genqiang; Guo, Xiangqian; Harish-Chandra modules over generalized Heisenberg-Virasoro algebras. Israel J. Math. 204 (2014), no. 1, 447–468.
13. Guo, Xiangqian; Liu, Genqiang; Zhao, Kaiming Irreducible Harish-Chandra modules over extended Witt algebras. Ark. Mat. 52 (2014), no. 1, 99–112.
14. Liu, Genqiang; Zhao, Kaiming; Irreducible Harish Chandra modules over the derivation algebras of rational quantum tori. Glasg. Math. J. 55 (2013), no. 3, 677–693.
15. Liu, Genqiang; Zhang, Yingbo; Canonical forms of indecomposable modules over K[x,y]/(xp,yq,xy). Algebra Colloq. 18 (2011), no. 3, 373–384.
16. Liu, Genqiang; Zhao, Kaiming; Irreducible modules over the derivation algebras of rational quantum tori. J. Algebra 340 (2011), 28–34.
科研项目:
1. Weyl型代数的表示及其在李代数和量子群表示中的应用,(11771122),国家自然基金面上项目,2018-01 至 2021-12,48万元,进行中,主持;
2. 与量子环面相关的李代数的表示,(11301143), 国家自然基金青年项目,2014-01 至 2016-12,22万元,已结项,主持;
主讲课程:
线性代数,李群李代数及其表示,基础代数学