个人简介
教育及工作经历

2007- 苏州大学数学学院
2005-2007 中科院数学所博士后
2003-2005 北京大学数学学院博士后
2000-2003 中科院系统所博士
1993-2000 苏州大学数学学院本科、硕士研究生

研究方向


主要从事李代数的研究工作。先后主持过国家自然科学基金青年基金1项，面上项目1项，目前参与项目2项. 在Advances in Mathematics, Documenta Mathematica, Journal of Algebra,Communications in Contemporary Mathematics等SCI杂志上发表学术论文30余篇。


研究领域
李代数



基本信息
吕仁才
职称： 教授
院部/部门： 数学科学学院
学历： 博士
学位： 博士
毕业学校： 中国科学院数学与系统科学研究院
毕业专业： 基础数学/李代数


联系方式
通讯地址：
邮政编码：
电子邮箱： rlu@suda.edu.cn
联系电话：
传真号码：
办公地点： 维格堂414




Copyright ? 2011-2014苏州大学版权所有苏州大学信息化建设与管理中心技术支持




科学研究


科研团队



Copyright ? 2011-2014苏州大学版权所有苏州大学信息化建设与管理中心技术支持




论文

33 Xue, Yaohui;Lü, Rencai;Simple weight modules with finite-dimensional weight spaces over Witt superalgebras, to appear in Journal of algebra.
32 Cai, Yan-an;Lü, Rencai; Wang,Yan;Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra, Journal of Algebra, 570(2021),397-415
31 Cai, Yan-an; Liu, Dong; Lü, Rencai; Classification of simple Harish-Chandra modules over the N =?1 Ramond algebra, Journal of Algebra Volume 567(2021),114-127
30 Lü, Rencai; Zhao, Kaiming Generalized oscillator representations of the twisted Heisenberg-Virasoro algebra. Algebr. Represent. Theory 23 (2020), no. 4, 1417–1442.
29 Guo, Xiangqian; Liu, Genqiang; Lu, Rencai; Zhao, Kaiming; Simple Witt modules that are finitely generated over the Cartan subalgebra. Mosc. Math. J. 20 (2020), no. 1, 43–65.
28 He, Yan; Cai, Yan-an; Lü, Rencai; A class of new simple modules for sln+1 and the Witt algebra. J. Algebra 541 (2020), 415–435.
27 Bre?ar, Matej; Guo, Xiangqian; Liu, Genqiang; Lü, Rencai; Zhao, Kaiming; Zero product determined Lie algebras. Eur. J. Math. 5 (2019), no. 2, 424–453.
26 Liu, Genqiang; Lu, Rencai; Zhao, Kaiming; Irreducible Witt modules from Weyl modules and gln-modules. J. Algebra 511 (2018), 164–181.
25 Futorny, Vyacheslav; Liu, Genqiang; Lu, Rencai; Zhao, Kaiming; New families of irreducible weight modules over sl3. J. Algebra 501 (2018), 458–472.
24 Cox, Ben; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming; Simple superelliptic Lie algebras. Commun. Contemp. Math. 19 (2017), no. 3, **, 22 pp.
23 Lü, Rencai; Zhao, Kaiming; A family of simple weight modules over the Virasoro algebra. J. Algebra 479 (2017), 437–460.
22 Adamovi?, Dra?en; Lü, Rencai; Zhao, Kaiming; Whittaker modules for the affine Lie algebra A(1)1. Adv. Math. 289 (2016), 438–479.
21 Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming; Classification of simple weight modules over the 1-spatial ageing algebra. Algebr. Represent. Theory 18 (2015), no. 2, 381–395.
20 Lü, Rencai; Zhao, Kaiming; Finite-dimensional simple modules over generalized Heisenberg algebras. Linear Algebra Appl. 475 (2015), 276–291.
19 Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming; Simple weight modules over weak generalized Weyl algebras. J. Pure Appl. Algebra 219 (2015), no. 8, 3427–3444.
18 Liu, Genqiang; Lu, Rencai; Zhao, Kaiming; A class of simple weight Virasoro modules. J. Algebra 424 (2015), 506–521.
17 Dubsky, Brendan; Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming; Category O for the Schr?dinger algebra. Linear Algebra Appl. 460 (2014), 17–50.
16Lu, Rencai; Zhao, Kaiming; Irreducible Virasoro modules from irreducible Weyl modules. J. Algebra 414 (2014), 271–287.
15 Cox, Ben; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming; n-point Virasoro algebras and their modules of densities. Commun. Contemp. Math. 16 (2014), no. 3, **, 27 pp.
14 Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming; On simple modules over conformal Galilei algebras. J. Pure Appl. Algebra 218 (2014), no. 10, 1885–1899.
13 Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming; Fraction representations and highest-weight-like representations of the Virasoro algebra. J. Algebra 387 (2013), 68–86.
12 Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming; Classification of irreducible Harish-Chandra modules over generalized Virasoro algebras. Proc. Edinb. Math. Soc. (2) 55 (2012), no. 3, 697–709.
11 Lü, Rencai; Guo, Xiangqian; Zhao, Kaiming; Irreducible modules over the Virasoro algebra. Doc. Math. 16 (2011), 709–721.
10 Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming; Simple Harish-Chandra modules, intermediate series modules, and Verma modules over the loop-Virasoro algebra. Forum Math. 23 (2011), no. 5, 1029–1052.
9 Lü, Rencai; Zhao, Kaiming; Classification of irreducible weight modules over the twisted Heisenberg-Virasoro algebra. Commun. Contemp. Math. 12 (2010), no. 2, 183–205.
8 Lü, Rencai; Zhao, Kaiming; Verma modules over quantum torus Lie algebras. Canad. J. Math. 62 (2010), no. 2, 382–399.
7 Batra, Punita; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming; Highest weight modules over pre-exp-polynomial Lie algebras. J. Algebra 322 (2009), no. 12, 4163–4180.
6 Lü, RenCai; Weight modules over some Block algebras. Sci. China Ser. A 52 (2009), no. 3, 517–525.
5 Lü, Rencai; Classification of quasifinite modules with nonzero central charges for EALAs of Type A with coordinates in quantum torus. Chin. Ann. Math. Ser. B 30 (2009), no. 2, 129–138.
4 Lü, Rencai; Zhao, Kaiming; Structure of Weyl type Lie algebras. J. Algebra 306 (2006), no. 2, 552–565.
3 Lu, Rencai; Zhao, Kaiming; Classification of irreducible weight modules over higher rank Virasoro algebras. Adv. Math. 206 (2006), no. 2, 630–656.
2 Lü, Rencai; Tang, Zhongming; The f-depth of an ideal on a module. Proc. Amer. Math. Soc. 130 (2002), no. 7, 1905–1912.
1 Lü, Rencai; Zhao, Kaiming; Automorphism groups of Weyl-type algebras. Manuscripta Math. 107 (2002), no. 2, 207–214.



荣誉奖励




Copyright ? 2011-2014苏州大学版权所有苏州大学信息化建设与管理中心技术支持




开授课程


招生信息



Copyright ? 2011-2014苏州大学版权所有苏州大学信息化建设与管理中心技术支持






研究项目（旧版）

荣誉奖励（旧版）

科研成果（旧版）