![](/__local/5/39/A4/CC1ED99A07C534D6785E2379322_15C90504_1C490.png)
刘根强
姓名:刘根强
职称:教授
办公室: BEVITOR伟德附楼一楼
邮箱: liugenqiangbnu@126.com, liugenqiang@henu.edu.cn,
研究方向:李代数与结合代数的表示
个人简介:主要研究领域是李代数和结合代数的表示理论,在J. Algebra, Math. Z., Transformation Groups, Bull. Lond. Math. Soc.,Israel J. Math. 等SCI杂志上发表学术论文多篇。主持完成国家自然科学基金面上项目、青年项目等项目。
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:
2012.07-至今,BEVITOR伟德APP官网
代表性学术论文:
[25]. Liu Genqiang, Li Yang, Whittaker categories and the minimal nilpotent finite W-algebras for sl(n+1), Math. Z. 306, 65 (2024).
[24]. Li Yang, Zhao Jun, Zhang Yuanyuan, Liu Genqiang, A Whittaker category for the symplectic Lie algebra and differential operators, Ark. Mat. 61 (2023), 123-140.
[23]. Zhang Yuanyuan, Zhao Jun, Liu Genqiang, Rota-Baxter family $\Omega$-associative conformal algebras and their cohomology theory, J. Math. Phys. 64 (2023), no. 10, Paper No. 101705, 28 pp.
[22]. Zhao Yufang, Liu Genqiang, Whittaker category for the Lie algebra of polynomial vector fields.Journal of Algebra, 605 (2022), 74–88.
[21]. Liu Genqiang, Zhao Kaiming, The category of weight modules for symplectic oscillator Lie algebas,Transformation Groups, (2022), no. 3, 1025–1044.
[20]. Liu Genqiang, Li, Yang, Wang Keke, Irreducible weight modules over the Schrödinger Lie algebra in (n + 1) dimensional space-time,Journal of Algebra, 575,(2021), 1-13.
[19]. Liu Genqiang, Li Yang, BGG category for the quantum Schrödinger algebra, Glasgow Mathematical Journal,63(2021),266-279.
[18]. Niu Mengnan, Liu Genqiang, Irreducible jet modules for the vector field Lie algebra, Communications in Algebra,49(2021),2091-2100.
[17]. Guo Xiangqian , Liu Genqiang , Lu Rencai, Zhao, Kaiming, Simple Witt Modules that are Finitely Generated over the Cartan Subalgebra,Moscow Mathematical Journal,20(2020),43-65.
[16]. Brešar Matej, Guo Xiangqian, Liu Genqiang, Lü Rencai, Zhao Kaiming, Zero product determined Lie algebras. Eur. J. Math. 5 (2019), no. 2, 424–453.
[15]. Guo Xiangqian, Liu Genqiang, Jet modules for the centerless Virasoro-like algebra. J. Algebra Appl. 18 (2019), no. 1, 1950002, 24 pp.
[14]. Liu Genqiang, Lu Rencai, Zhao Kaiming, Irreducible Witt modules from Weyl modules and gln-modules. J. Algebra 511 (2018), 164-181.
[13]. 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.
[12]. Cai Yan-an, Liu Genqiang, Nilsson Jonathan, Zhao, Kaiming, Generalized Verma modules over sl(n+2) induced from U(hn)-free sl(n+1)-modules. J. Algebra 502 (2018), 146-162.
[11]. Futorny Vyacheslav, Liu Genqiang, Lu Rencai, Zhao Kaiming, New families of irreducible weight modules over sl3. J. Algebra 501 (2018), 458-472.
[10]. Liu Genqiang, Zhao Yueqiang, Generalized polynomial modules over the Virasoro algebra. Proc. Amer. Math. Soc. 144 (2016), no. 12, 5103-5112.
[9]. 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.
[8]. 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.
[7]. 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.
[6]. Liu Genqiang, Lu Rencai, Zhao Kaiming, A class of simple weight Virasoro modules. J. Algebra 424 (2015), 506-521.
[5]. Liu Genqiang, Guo Xiangqian, Harish-Chandra modules over generalized Heisenberg-Virasoro algebras. Israel J. Math. 204 (2014), no. 1, 447-468.
[4]. Guo Xiangqian, Liu Genqiang, Zhao Kaiming, Irreducible Harish-Chandra modules over extended Witt algebras. Ark. Mat. 52 (2014), no. 1, 99-112.
[3]. 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.
[2]. Liu Genqiang, Zhang Yingbo, Canonical forms of indecomposable modules over K[x,y]/(xp,yq,xy). Algebra Colloq. 18 (2011), no. 3, 373-384.
[1]. 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. 李代数与有限W代数的Whittaker型表示和有限维表示,(12371026),国家自然科学基金面上项目,202401--202712,在研,主持。
2. Weyl型代数的表示及其在李代数和量子群表示中的应用,(11771122),国家自然科学基金面上项目,201801--202112,完成,主持。
3. 无穷维李代数和量子群的表示,河南省自然科学基金优秀青年项目,202010--202310,完成,主持。
4.与量子环面相关的李代数的表示,(11301143), 国家自然科学基金青年项目,201401--201612,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,群表示。
社会兼职:
美国《数学评论》评论员
学术交流:
1. 2023年2月在中国数学会年会做代数分组报告。
2. 2019年7月受邀在第16届全国李代数会议会议上做大会报告。
3. 2017年7月受邀在十四届数学教学与科研研讨会暨河南省第八届“数学博士论坛”做大会报告。
荣誉与奖励:
2020年, 无穷维李代数的表示及其应用,河南省教育厅科技成果奖,二等奖。