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

头像

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

36  Lü, Rencai; Xue, Yaohui;Bounded weight modules over the Lie superalgebra of Cartan W-type, to appear in Algebr. Represent. Theory.

35 Xue, Yaohui; Lü, Rencai; Classification of simple bounded weight modules of the Lie algebra of vector fields on $\bC^n$, to appear in Israel Journal of Mathematics.

34 Cai, Yan-an, Lü, Rencai, Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact algebra, to appear in JPAA.

33 Xue, Yaohui; Lü, Rencai;Simple weight modules with finite-dimensional weight spaces over  Witt superalgebras, J. Algebra 574(2021), 92-116.

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 Brešar, 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, 1650032, 22 pp.

23 Lü, Rencai; Zhao, Kaiming; A family of simple weight modules over the Virasoro algebra. J. Algebra 479 (2017), 437–460.

22 Adamović, Dražen; 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 Schrödinger algebra. Linear Algebra Appl. 460 (2014), 17–50.

 16 Lu, 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, 1350047, 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.


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