个人简介

教育及工作经历


2007- www.优德88.cpm 数学科学学院

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 www.优德88.cpm 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。先后主持国家自然科学基金项目3项,参与3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www.优德88.cpm 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

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科研团队

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论文

    41 Hu, jinxin;Lü, Rencai;Classification of simple Harish-Chandra modules of the Cartan type Lie algebra \bar{S}_2, to appear in J. Algebra.

    40 Y. Cai, R.,X. Wang, Non-weight modules over the Lie (super)algebras related to the Virasoro algebra, J. Algebra {\bf 683} (2025), 834--857; MR4936484

    39Yan-an Cai;Rencai Lü;Yaohui Xue;Classification of Simple Strong Harish-Chandra Modules Over the Lie Superalgebra of Vector Fields on $C^{m|n}$, to appear inTransformation Groups.

    38 R., Y. Xue, Classification of simple Harish-Chandra modules over the generalized Witt algebras, J. Algebra {\bf 650} (2024), 54--79; MR4733241

    37 Y. Cai, Y. He ,R., Module structures on U(S^-) for the Schr\"odinger algebra, J. Geom. Phys. {\bf 191} (2023), Paper No. 104919, 8 pp.; MR4618896

    36Lü, Rencai;Xue, Yaohui;Bounded weight modules over the Lie superalgebra of Cartan W-type,Algebr. Represent. Theory26(2023), no.3, 763–781.

    35Xue, Yaohui;Lü, Rencai;Classification of simple bounded weight modules of the Lie algebra of vector fields on $\bC^n$,Israel J. Math.253(2023), no.1, 445–468.

    34 Cai, Yan-an,Lü, Rencai,Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact algebra,J. Pure Appl. Algebra226(2022), no.3, Paper No. 106866, 14 pp.

    33 Xue, Yaohui;Lü, Rencai;Simpleweight 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.

    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, 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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