Jacobi猜想的证明：Proof of 2-dimensional Jacobian conjecture.pdf

代数学中的李理论、数学物理中的共形场论、理论物理中的超对称性

1978.9-1982.7 厦门大学数学系 获学士学位

1982.9-1985.7 厦门大学数学系 获硕士学位（导师：杨锡安教授）

1986.9-1989.2 中国科学院系统科学研究所 获博士学位（导师：万哲先院士）

2011.1- 同济大学数学系特聘教授、博士生导师、数学研究所所长

2005.7-2010.12 中国科技大学数学系副主任，

其中 2009.9-2009.12 澳大利亚悉尼大学数学系访问研究员

1998.1-2005.6 上海交通大学数学系副教授、教授、博士生导师，

其中 2002.9-2003.8 美国哈佛大学数学系访问教授

2003.9-2004.8 澳大利亚悉尼大学数学系访问研究员

1994.1-1997.12 加拿大魁北克大学蒙特利尔分校数学系访问学者

1991.9-1993.12 加拿大蒙特利尔Concordia大学数学系博士后

1990.9-1991.8 英国伦敦大学玛丽皇后学院数学系访问学者(包玉刚奖学金)

1989.3-1990.8 厦门大学数学系讲师

1985.8-1986.8 厦门大学数学系助教

1. Hebing Rui, Yucai Su, Highest weight vectors of mixed tensor products of general linear Lie superalgebras, Transform. Groups 20 (2015), no. 4, 1107–1140.

2. Hebing Rui, Yucai Su, Affine walled Brauer algebras and super Schur–Weyl duality, Adv. Math. 285 (2015), 28–71.

3. Yucai Su, Xiaoqing Yue, Classification of Z2-graded modules of intermediate series over a Block-type Lie algebra, Commun. Contemp. Math. 17 (2015), no. 5, 1550059, 17 pp.

4. Xiansheng Dai, Jianzhi Han, Yucai Su, Structures of generalized loop super-Virasoro algebras. Internat. J. Math. 26 (2015), no. 7, 1550041 (15 pages).

5. Qiufan Chen, Jianzhi Han, Yucai Su, Structures of Not-finitely Graded Lie Algebras Related to Generalized Virasoro Algebras. Comm. Algebra 43 (2015), no. 7, 3033–3049.

6. Guang'Ai Song, YuCai Su, Dual Lie bialgebra structures of Poisson types, Sci. China Math. 58 (2015), no. 6, 1151–1162.

7. Yucai Su, R. B. Zhang, Character and dimension formulae for queer Lie superalgebra, Comm. Math. Phys. 333 (2015), no. 3, 1465–1481.

8. Kelei Tian, Jingsong He, Yucai Su, Symmetric q-deformed KP hierarchy, Chin. Ann. Math. Ser. B 36 (2015), no. 1, 1–10.

9. Guangzhe Fan, Yucai Su, Henan Wu, Loop Heisenberg-Virasoro Lie conformal algebra. J. Math. Phys. 55 (2014), no. 12, 123508, 8 pp.

10. Qiufan Chen, Jianzhi Han, Yucai Su, Lie bialgebras of not-finitely graded Lie algebras related to generalized Virasoro algebras. Internat. J. Math. 25 (2014), no. 5, 1450049, 1-11

11. Ming Gao, Yun Gao, Yucai Su, Irreducible Quasi-Finite Representations of a Block Type Lie Algebra. Comm. Algebra 42 (2014), no. 2, 511–527

12. Yucai Su, Ying Xu, Xiaoqing Yue, Indecomposable modules of the intermediate series over W(a,b). Sci. China Math. 57 (2014), no. 2, 275–291.

13. Chuanzhong Li, Jingsong He, Yucai Su, Block (or Hamiltonian) Lie Symmetry of Dispersionless D-Type Drinfeld–Sokolov Hierarchy, Commun. Theor. Phys. 61 (2014) 431–435.

14. Yucai Su, Henan Wu, Song Wu, Xiaoqing Yue, Structure of generalized map Virasoro algebras, Symmetries and Groups in Contemporary Physics, pp. 505-510, in Proceedings of the XXIX International Colloquium on Group-Theoretical Methods in Physics (Tianjin, China, 20-26 August 2012), World Scientific, 2013.

15. Yucai Su, Lamei Yuan, Schrödinger-Virasoro Lie conformal algebra, J. Math. Phys. 54 (2013), no. 5, 053503, 1-16.

16. Yucai Su, Chunguang Xia, Ying Xu, Classification of quasifinite representations of a Lie algebra related to Block type, J. Algebra 393 (2013), 71-78

17. Weiqiang Lin, Yucai Su, Quasi-finite Irreducible Graded Modules for the Virasoro-like Algebra, Algebra Colloquium 20(2) (2013), 181-196

18. Yongsheng Cheng, Yucai Su, Quantum Deformations of the Heisenberg-Virasoro Algebra, Algebra Colloquium 20(2) (2013), 299-308

19. Yucai Su, R. B. Zhang, Generalised Jantzen filtration of Lie superalgebras I, J. Eur. Math. Soc. 14 (2012), 1103-1133.

20. Yucai Su, R.B. Zhang, Generalised Verma modules for the orthosymplectic Lie superalgebra osp(k|2), Journal of Algebra 357 (2012), 94-115.

21. Yucai Su, Chunguang Xia, Ying Xu, Quasifinite representations of a class of Block type Lie algebras B(q), J. Pure Appl. Algebra 216 (2012), 923-934.

22. Chuanzhong Li, Jingsong He, Yucai Su, Block type symmetry of bigraded Toda hierarchy, J.Math.Phys. 53(2012),013517, 24pp

23. Kelei Tian, Jingsong He, Yucai Su, Yi Cheng, String equations of the q-KP hierarchy, Chin. Ann. Math. Ser. B 32 (2011), no. 6, 895–904.

24. Yucai Su, Shaobin Tan, Hechun Zhang, Lie algebras and related topics, Front. Math. China 6 (2011), no. 4, 565–566,

25. Yucai Su, Xiaoqing Yue, Filtered Lie conformal algebras whose associated graded algebras are isomorphic to that of general conformal algebra gc1, J. Algebra 340 (2011), 182-198.

26. Junbo Li, Yucai Su, Quantizations of the W-algebra W(2,2), Acta Math. Sin. (Engl. Ser.) 27 (2011), no. 4, 647-656.

27. Yongsheng Cheng, Yucai Su, (Co)Homology and universal central extension of Hom-Leibniz algebras, Acta Mathematica Sinica 27(5) (2011), 813-830

28. Wende Liu, Yucai Su, Yongzheng Zhang, Even parts of Hamiltonian superalgebras in prime characteristic. (Chinese) Chinese Ann. Math. Ser. A 31 (2010), no. 5, 579–596

29. Yucai Su, Lamei Yuan, Quantization of Schrödinger-Virasoro Lie algebra, Front. Math. China 5 (2010), no. 4, 701–715

30. Junbo Li, Yucai Su, Linsheng Zhu, Classification of indecomposable modules of the intermediate series over the twisted N=2 superconformal algebra, J. Math. Phys. 51 (2010), no. 8, 083513, 17 pp.

31. Yongsheng Cheng, Yucai Su, Quantization of Lie algebras of Block type, Acta Math. Sci. Ser. B Engl. Ed. 30 (2010), no. 4, 1134–1142

32. Hengyun Yang, Yucai Su, Lie super-bialgebra structures on generalized super-Virasoro algebras, Acta Math. Sci. Ser. B Engl. Ed. 30 (2010), no. 1, 225–239.

33. Junbo Li, Yucai Su, Bin Xin, Lie bialgebra structures on the centerless W-algebra W(2,2), Algebra Colloq. 17 (2010), no. 2, 181–190.

34. Junbo Li, Yucai Su, Quantization of Block-type algebras, (Chinese) Acta Math. Sci. Ser. A Chin. Ed. 29 (2009), no. 6, 1699–1703.

35. Yucai Su, Quasifinite representations of some Lie algebras related to the Virasoro algebra, Recent developments in algebra and related areas, 213–238, Adv. Lect. Math. (ALM), 8, Int. Press, Somerville, MA, 2009.

36. Jianzhi Han, Junbo Li, Yucai Su, Lie bialgebra structures on the Schrödinger-Virasoro Lie algebra, J. Math. Phys. 50 (2009), no. 8, 083504, 12 pp.

37. Weiqiang Lin, Yucai Su, Modules for the core extended affine Lie algebras of type A1 with coordinates in rank 2 quantum tori, Pacific J. Math. 242 (2009), no. 1, 143–166.

38. Yucai Su, A survey on quasifinite representations of Weyl type Lie algebras, Representation theory, 237–256, Contemp. Math., 478, Amer. Math. Soc., Providence, RI, 2009.

39. Hengyun Yang, Yucai Su, Lie super-bialgebra structures on the Ramond N=2 super-Virasoro algebra, Chaos Solitons Fractals 40 (2009), no. 2, 661–671.

40. Wende Liu, Xiuying Hua, Yucai Su, Derivations of the even part of the odd Hamiltonian superalgebra in modular case, Acta Math. Sin. (Engl. Ser.) 25 (2009), no. 3, 355–378.

41. Junbo Li, Yucai Su, Irreducible weight modules over the twisted Schrödinger-Virasoro algebra, Acta Math. Sin. (Engl. Ser.) 25 (2009), no. 4, 531–536.

42. Guang'ai Song, Yucai Su, Bin Xin, Quantization of Hamiltonian-type Lie algebras, Pacific J. Math. 240 (2009), no. 2, 371–381.

43. Qifen Jiang, Ran Shen, Yucai Su, Second homology groups and universal coverings of Steinberg Leibniz algebras of small characteristic, Comm. Algebra 37 (2009), no. 2, 548–566.

44. Yucai Su, Some results on finite dimensional representations of general linear Lie superalgebras, Geometry, analysis and topology of discrete groups, 374–439, Adv. Lect. Math. (ALM), 6, Int. Press, Somerville, MA, 2008.

45. Chenglin Zhang, Yucai Su, Generalized Verma modules over non-graded Witt type Lie algebras, J. Univ. Sci. Technol. China 38 (2008), no. 9, 1063–1067.

46. Huan Mao, Yucai Su, Derivations of generalized Weyl superalgebras, (Chinese) J. Math. (Wuhan) 28 (2008), no. 5, 529–536.

47. Junbo Li, Yucai Su, Linsheng Zhu, 2-cocycles of original deformative Schrödinger-Virasoro algebras, Sci. China Ser. A 51 (2008), no. 11, 1989–1999.

48. Junbo Li, Yucai Su, Bin Xin, Lie bialgebras of a family of Lie algebras of Block type, Chin. Ann. Math. Ser. B 29 (2008), no. 5, 487–500.

49. Jiayuan Fu, Cuipo Jiang, Yucai Su, Integrable representations for twisted generalized Virasoro-toroidal Lie algebras, Algebra Colloq. 15 (2008), no. 3, 415–430.

50. Junbo Li, Yucai Su, Leibniz central extension on centerless twisted Schrödinger-Virasoro algebra, Front. Math. China 3 (2008), no. 3, 337–344.

51. Junbo Li, Yucai Su, Representations of the Schrödinger-Virasoro algebras, J. Math. Phys. 49 (2008), no. 5, 053512, 14 pp. （Cited：12）

52. Guang'ai Song, Yucai Su, Yuezhu Wu, Quantization of generalized Virasoro-like algebras, Linear Algebra Appl. 428 (2008), no. 11-12, 2888–2899.

53. Xiaoqing Yue, Yucai Su, Lie bialgebra structures on Lie algebras of generalized Weyl type, Comm. Algebra 36 (2008), no. 4, 1537–1549.

54. Ran Shen, Qifen Jiang, Yucai Su, Verma modules over the generalized Heisenberg-Virasoro algebra, Comm. Algebra 36 (2008), no. 4, 1464–1473.

55. Xiaoqing Yue, Yucai Su, Highest weight representations of a family of Lie algebras of Block type, Acta Math. Sin. (Engl. Ser.) 24 (2008), no. 4, 687–696.

56. Yongsheng Cheng, Yucai Su, Generalized Verma modules over some Block algebras, Front. Math. China 3 (2008), no. 1, 37–47.

57. Bin Xin, Guang’ai Song, Yucai Su, Hamiltonian type Lie bialgebras, Sci. China Ser. A 50 (2007), no. 9, 1267–1279.

58. Yuezhu Wu, Yucai Su, Highest weight representations of a Lie algebra of Block type, Sci. China Ser. A 50 (2007), no. 4, 549–560.

59. Wu, Yuezhu; Song, Guang'ai; Su, Yucai Lie bialgebras of generalized Witt type. II, Comm. Algebra 35 (2007), no. 6, 1992–2007.

60. Fu, Jiayuan; Jiang, Qifen; Su, Yucai Classification of modules of the intermediate series over Ramond N=2 superconformal algebras, J. Math. Phys. 48 (2007), no. 4, 043508, 15 pp.

61. Classification of irreducible weight modules with a finite-dimensional weight space over twisted Heisenberg-Virasoro algebra, Acta Mathematica Sinica-English Series 23 (1)(2007), 189-192(by Shen R, Su YC)

62. Lie bialgebras of generalized Virasoro-like type, Acta Mathematica Sinica-English Series 22 (6)(2006), 1915-1922 (by Wu YZ, Song GA, Su YC)

63. Character and dimension formulae for general linear superalgebra, Adv. Math. 211 (2007), 1–33 (see also http://lanl.arxiv.org/abs/math.QA/0403315) (with R.B. Zhang).

64. Cohomology of Lie superalgebras sl_{m|n} and osp_{2|2n}，Proc.London Math. Soc. 94(2007), 91-136(see also http://lanl.arxiv.org/abs/math.QA/0402419) (with R.B. Zhang).

65. 非阶化Virasoro代数和Virasoro超代数及其中间序列模 (朱琳,苏育才), 数学研究与评论26(2)(2006),325-333.

66. Virasoro 代数的一类一致有界模（王伟，苏育才），系统科学与数学，26（5）（2006，10），561-568.

67. Classification of quasifinite $W_/infty$-modules, Israel J. Math. 151 (2006), 223—236 (with B. Xin).

68. 2-Cocycles on Lie superalgebras of matrices with coefficients in associative superalgebras, 系数在结合超代数的矩阵李超代数的2-上循环，Chinese Ann. Math. 27A (4) (2006), 527—534(with B. Xin)

69. Composition factors of Kac modules for the general linear Lie superalgebras, Math. Z. 252 (2006), no. 4, 731—754.

70. Lie bialgebras of generalized Witt type, Science in China A, 49(2006), 533-544 (中文版: 广义Witt型Lie双代数, 中国科学A, 35 (2005), 1333-1346 (with G.Song)).

71. Representations of the derivation algebra of the localization of the quantum plane at q = 1, Comm. Algebra, 33(2005), 4375–4382 (with L.Zhu).

72. 2-cocycles on the Lie superalgebras of Weyl type, Comm. Algebra, 33(2005), 2991–3007 (with G.Song).

73. Classification of quasifinite modules over Lie algebras of matrix differential operators on the circle, Proc. Amer. Math. Soc., 133 (2005), 1949-1957.

74. Derivation algebras of centerless perfect Lie algebras are complete, J. Algebra, 285（2005）508-515 (with L.Zhu).

75. Derivations and 2-cocycles of contact Lie algebras related to locally-finite derivations, Comm. Alg., 32 (12) (2004), 4613-4631 (with G.Song).

76. Quasifinite representations of a Lie algebra of Block type, J. Algebra, 276 (2004), 117–128.

77. Quasifinite representations of a family of Lie algebras of Block type, J. Pure Appl. Alg., 192 (2004), 293–305.

78. Low dimensional cohomology of general conformal algebras gc_N, J. Math. Phys., 45 (2004), 509-524.

79. Classification of derivation-simple color algebras related to locally finite derivations, J. Math. Phys., 45(2004), 525-536 (with K.Zhao and L.Zhu).

80. Structure of algebras of Weyl type, Comm. Algebra, 32(2004), 1051-1059 (with K.Zhao).

81. A class of nongraded simple Lie algebras, Comm. Alg. 32 (2004), 2365–2376 (with J.Zhou).

82. Central simple Poisson algebras, Science in China A, 47 (2004), 245-263 (中文版：中心单Poisson代数, 中国科学A, 33 (2003), 570-586 (with X.Xu)).

83. 导子单结合代数及其相联的李代数,常熟高专学报, 17(4)(2003),1-6.

84. Classification of quasifinite modules over the Lie algebras of Weyl type, Adv. Math., 174 (2003), 57-68.

85. Classification of Harish-Chandra modules over the higher rank Virasoro algebras, Comm. Math. Phys., 240 (2003), 539-551.

86. Simple color algebras of Weyl type, Israel. J. Math., 137(2003), 109-123 (with K.Zhao and L.Zhu).

87. Poisson brackets and structure of nongraded Hamiltonian Lie algebras related to locally-finite derivations, Canad. J. Math., 55 (2003), 856-896.

88. Structure of a new class of non-graded infinite-dimensional simple Lie algebras, J. Algebra, 267 (2003), 542-558.

89. Structure of contact Lie algebras related to locally-finite derivations, Manuscripta Math., 112 (2003), 231-257 (with X.Xu).

90. Structure of Lie superalgebras of Block type related to locally finite derivations, Comm. Algebra, 31(2003), 1725-1751.

91. Derivations of generalized Weyl algebras, Science in China A, 46 (2003), 346-354.

92. Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series, J. Algebra, 252(2002), 1-19 (with K.Zhao).

93. Z x Z-graded algebras generated by the Virasoro algebra and sl2, Math. Nach., 246/247 (2002), 188-201 (with J.Zhang, K.Zhao).

94. Structure of the Lie algebras related to those of Block, Comm. Algebra, 30 (2002), 3205-3226 (with J.Zhou).

95. 2-Cocycles on the Lie algebras of generalized differential operators, Comm. Algebra, 30 (2002), 763-782.

96. Second cohomology group of generalized Cartan type Witt Lie algebras and central extensions, Comm. Algebra, 30 (2002), 3285-3309 (with K.Zhao).

97. Isomorphism classes and automorphism groups of algebras of Weyl type, Science in China A, 45 (2002), 953-963(with K.Zhao).

98. Structures of divergence-free Lie algebras, J. Algebra, 243 (2001), 557-595 (with X.Xu).

99. Some representations of nongraded Lie algebras of generalized Witt type, J. Algebra, 246 (2001), 721-738 (with J.Zhou).

100. Derivations and structure of the Lie algebras of Xu type, Manuscripta Math., 105 (2001), 483-500.

101. On indecomposable modules over the Virasoro algebra, Science in China A, 44 (2001), 980-983.

102. Weakly primitive vectors in the Kac-module of the Lie superalgebra sl(m/n), J.Math.Phys., 42 (2001), 5444-5457.

103. Classification of infinite dimensional weight modules over the Lie superalgebra sl(2/1), Comm. Algebra, 29 (2001), 1301-1309.

104. Simple modules over the high rank Virasoro algebras, Comm. Algebra, 29 (2001), 2067-2080.

105. Simple algebras of Weyl type, Science in China A, 44 (2001), 419-426 (with K.Zhao).

106. Simple modules over the higher rank super-Virasoro algebras, Lett. Math. Phys., 53 (2000), 263-272.

107. Derivation-simple algebras and the structures of Lie algebras of Witt type, J. Algebra, 233 (2000), 642-662 (with X.Xu, H.Zhang).

108. Primitive vectors in the Kac-module of the Lie superalgebra sl(m/n), J.Math.Phys., 41 (2000), 5044-5087 (with J.W.B.Hughes, R.C.King).

109. Classification of sl(m/n)-modules of singly atypical type, J.Math.Phys., 41 (2000), 602-613.

1. 国家自然科学重点基金(2015.1-2019.12,280万) 项目名称：李理论及其应用，编号11431010

2. 国家自然科学基金(2014.1-2017.12,55万) 项目名称：李超代数的parabolic范畴O的若干问题，编号11371278

3. 上海市优秀学术带头人计划12XD1405000，李超代数的Jantzen滤过，40.万（2012.7-2014.6）

4. 同济大学重点建设项目：典型李超代数的Kazhdan-Lusztig理论(2011.1-2013.12, 50万)

5. 中央高校基本科研业务费专项基金(同济大学基础科学高等研究院:李超代数的表示理论（2011.1-2013.12, 20万）

6. 国家杰出青年科学基金(2009.1-2012.12,140万)（编号10825101）

7. 中科院知识创新工程第三期重要项目“数学及其应用中的若干前沿问题-数学物理与代数”课题负责人(2006-2009,50万)

8. 教育部跨世纪优秀人才培养计划基金(2002-2005,30万)

9. 教育部博士点基金二项

10. 阶化李代数和典型李超代数的若干问题2006-2008,6万，

11. 与Virasoro代数相关联的李（超）双代数和量子化及其变形理论2009-2011，6万，批准号20093402110044

12. 优秀青年教师资助计划基金(2002-2004,4万)

13. 国家自然科学基金(2002-2004,13.5万;2005-2007,15万)

14. 项目名称：无限维非阶化单李代数的结构和表示理论，编号10171064

15. 项目名称：典型李超代数和非阶化李代数的若干问题，编号10471091

16. 教育部留学回国人员基金(1999-2001,3万)

1963年5月出生于福建省龙岩市永定区。同济大学特聘教授、博士生导师、数学所所长

1. 《抽象代数》

2. 《基础代数》

1. 国际SCI杂志《Algebra Colloquium》编委

2. 全国核心期刊《数学学报》编委

3. 国际杂志《Journal of Algebra and Computational Applications》编委

4. 《Pure Mathematics》编委（自2011年）

5. 《Journal of Mathematical Study》编委

6. 《International Journal of Mathematics and Mathematical Sciences》编委

7. 美国数学评论《Mathematical Review》评论员(自1989年)

8. 德国数学杂志《Zentralblatt fur Mathematik》评论员(自1992年)

9. 同济大学高等研究院首席研究员

10. 中科院吴文俊数学重点实验室学术委员会委员