生云鹤

• 性别：男

  职称：教授

  所在系别：基础数学系

  是否博导：是

• 办公地点：韩国三级片 中心校区，伍卓群楼525

  办公电话：0431-85160000

  电子邮箱：[email protected]

• Poisson几何、高阶李理论与数学物理

• 本科生课程：空间解析几何、微分几何、微分流形
  研究生课程：微分流形、黎曼几何、李群与李代数

• 2004.09 - 2008.12, 北京大学韩国三级片 博士
  2007.12 - 2008.11, Math. Dep. Utrecht Uni. Netherlands, joint Ph. D
  2000.09 - 2004.07, 韩国三级片 本科

• 2008.12 - 2009.07, CRC, Goettingen Uni. Post doctor
  2009.01 - 2011.01, 大连理工大学韩国三级片 博士后
  2009.06 - 2011.08, 韩国三级片 副教授
  2008.07 - 2008.07, Conference Poisson 2008, Bernnoulli Center, EPFL, Lausanne, Switzerland.
  2010.07 - 2010.08, ANU, visiting scholar, Austrilia
  2010.09 - 2010.09, Geometry and Physics VIII, Scalea, Italy
  2012.06 - 2012.08, Goettingen Uni. visiting scholar, Germany
  2012.07 - 2012.08, Conference Poisson 2012, Utrecht Uni., Holland
  2013.06 - 2013.07, Goettingen Uni. visiting scholar, Germany
  2013.06 - 2013.06, Conference Higher algebras and Lie-infinity homotopy theory, Luxembourg Uni., Luxembourg
  2013.07 - 2013.07, Conference in honor of Alan Weinstein, Bernnoulli Center, EPFL, Lausanne, Switzerland.
  2014.07 - 2014.07, Goettingen Uni. visiting scholar, Germany
  2014.11 - 2014.12, Goettingen Uni. visiting scholar, Germany
  2014.11 - 2014.12, Conference ;Algebra, deformation and quantum groups;, CIRM, France
  2015.04 - 2015.05, Goettingen Uni. visiting scholar, Germany
  2015.05 - 2015.05, Conference ”Geometry of Jets and Fields”, Bedlewo, Banach Center, Poland
  2015.07 - 2015.08, Penn State University, visiting scholar, US
  2016.06 - 2016.07, University of Haute Alsace, visiting scholar, Mulhouse, France
  2016.07 - 2016.07, Poisson 2016, Zurich,Switzerland.
  2016.07 - 2016.07, Goettingen Uni. visiting scholar, Germany
  2016.07 - 2016.07, Geneva Uni., visiting scholar,Switzerland.
  2016.12 - 2017.12, Penn State University, visiting scholar, US
  2011.09 - 至今 韩国三级片 教授

• 1. 博士后基金(20090451267，Courant代数胚的可积性) 2009.09-2011.01 负责人
  2. 数学天元基金（11026046，高阶李理论）2011.01-2011.12 负责人
  3. 博士点新教师基金（20100061120096，高阶李理论）2011.01-2013.12 负责人
  4. 国家自然科学基金青年基金（11101179，Poisson几何与高阶李理论）2012.01-2014.12 负责人
  5. 吉林省青年基金(20140520054JH，Courant代数胚与高阶结构) 2014.01-2016.12 负责人
  6. 国家自然科学基金面上项目(11471139，Poisson几何、高阶结构及其在数学物理中的应用) 2015.01-2018.12 负责人
  7. 吉林省自然科学基金（20170101050JC，Courant代数胚及其在数学物理中的应用） 2017.01-2019.12 负责人
  8. 国家自然科学基金优秀青年基金（11922110，数学物理） 2020.01-2022.12 负责人
  9. 国家自然科学基金面上项目（12471060，泊松几何与Rota-Baxter代数），2025.01-2028.12 负责人
  10. 国家自然科学基金 (国际(地 区)合作与交流项目) （W2412041，非结合代数结构及其应用）2025.01-2027.12 负责人
  11. 吉林省杰出青年基金（20260101013JJ，泊松几何、罗巴代数及其应用)2026.01-2028.12

• [1] Y. Sheng, Linear Poisson structures on $\mathbb{R}^4$, J. Geom. Phys. 5 (2007), 2398-2410.
  [2] Q. Lin, Z. Liu and Y. Sheng, Quadratic deformations of Lie-Poisson structures on $\mathbb{R}^3$, Lett. Math. Phys. 83 (2008), 217-229.
  [3] Z. Chen, Z. Liu and Y. Sheng, E-Courant algebroids, Int. Math. Res. Not. (2010) No. 22, 4334-4376.
  [4] Y. Sheng, Z. Liu and C. Zhu, Omni-Lie 2-algebras and their Dirac structures, J. Geom. Phys. 61(2011), 560-575.
  [5] Y. Bi and Y. Sheng, On higher analogues of Courant algebroids, Sci. China Math. 54 (2011), No. 3, 437-447.
  [6] S. Chen, Y. Sheng and Z. Zheng, Non-abelian Extensions of Lie 2-algebras, Sci. China Math. 55(2012), No. 8, 1655-1668.
  [7] Y. Sheng and C. Zhu, Integration of Lie 2-algebras and their morphisms, Lett. Math. Phys. 102(2012), No. 2, 223-244.
  [8] Y. Sheng, Representations of hom-Lie algebras, Algebr. Represent. Theory 15 (2012), No. 6, 1081-1098.
  [9] Y. Sheng and D. Chen, Hom-Lie 2-algebras, J. Algebra 376 (2013), 174-195.
  [10] C. Bai, Y. Sheng and C. Zhu, Lie 2-bialgebras, Comm. Math. Phys. 320 (2013), 149-172.
  [11] Y. Sheng and C. Bai, A new approach to hom-Lie bialgebras, J. Algebra 399 (2014), 232-250.
  [12] Z. Liu, Y. Sheng and T. Zhang, Deformations of Lie 2-algebras, J. Geom. Phys. 86 (2014), 66-80.
  [13] Zhangju Liu, Yunhe Sheng, Xiaomeng Xu, The first Pontryagin class for Pre-Courant Algebroids, J. Geom. Phys. 104 (2016), 148-162.
  [14] H. Lang, Y. Sheng and X. Xu, Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids, Lett. Math. Phys. 107 (2017), No. 5, 861-885.
  [15] L. Cai, J. Liu and Y. Sheng, Hom-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroids, J. Geom. Phys. 121 (2017), 15-32.
  [16] J. Liu, Y. Sheng and C. Bai, Pre-symplectic algebroids and their applications, Lett. Math. Phys. 108(2018), No. 3, 779-804.
  [17] Y. Sheng and R. Tang, Symplectic, product and complex structures on 3-Lie algebras, J. Algebra508 (2018), 256-300.
  [18] Y. Sheng, The first Pontryagin class of a quadratic Lie 2-algebroid, Comm. Math. Phys. 362 (2018), No. 2, 689-716.
  [19] L. Cai and Y. Sheng, Purely Hom-Lie bialgebras, Sci. China Math. 61 (2018), No. 9, 1553-1566.
  [20] C. Bai, L. Guo and Y. Sheng, Bialgebras, the classical Yang-Baxter equation and Manin triples for 3-Lie algebras, Adv. Theor. Math. Phys. 23 (2019), No. 1, 27-74.
  [21] R. Tang, C. Bai, L. Guo and Y. Sheng, Deformations and their controlling cohomologies of $\mathcal{O}$-operators, Comm. Math. Phys. 368 (2019), 665-700.
  [22] J. Liu, C. Bai and Y. Sheng, Compatible O-operators on bimodules over associative algebras, J. Algebra 532 (2019), 80-118.
  [23] R. Tang, Y. Frégier and Y. Sheng, Cohomologies of a Lie algebra with a derivation and applications, J. Algebra 534 (2019), 65-99.
  [24] R. Tang and Y. Sheng, Cohomological characterizations of non-abelian extensions of strict Lie 2-algebras, J. Geom. Phys. 144 (2019), 294-307.
  [25] J. Liu and Y. Sheng, QP-structures of degree 3 and CLWX 2-algebroids, J. Symplectic Geom. 17(2019), No. 6, 1853-1891.
  [26] J. Liu, C. Bai and Y. Sheng, Noncommutative Poisson bialgebras, J. Algebra 556 (2020), 35-66.
  [27] J. Liu, Y. Sheng and C. Bai, $F$-manifold algebras and deformation quantization via pre-Lie algebras, J. Algebra 559 (2020), 467-495.
  [28] R. Tang, S. Hou and Y. Sheng, Lie $3$-algebras and deformations of relative Rota-Baxter operators on 3-Lie algebras, J. Algebra 567 (2021), 37-62.
  [29] J. Liu and Y. Sheng, Homotopy Poisson algebras, Maurer-Cartan elements and Dirac structures of CLWX 2-algebroids, J. Noncommutative Geom. 15 (2021), No. 1, 147-193.
  [30] A. Lazarev, Y. Sheng and R. Tang, Deformations and homotopy theory of relative Rota-Baxter Lie algebras, Comm. Math. Phys. 383 (2021), 595-631.
  [31] Y. Sheng, X. Xu and C. Zhu, String principal bundles and Courant algebroids, Int. Math. Res. Not. IMRN 2021, No. 7, 5290-5348.
  [32] S. Hou, Y. Sheng and R. Tang, Twilled 3-Lie algebras, generalized matched pairs of 3-Lie algebras and $\mathcal{O}$-operators, J. Geom. Phys. 163 (2021), 104148, 1-15.
  [33] L. Guo, H. Lang and Y. Sheng, Integration and geometrization of Rota-Baxter Lie algebras, Adv. Math. 387 (2021), 107834.
  [34] Y. Sheng, R. Tang and C. Zhu, The controlling $L_\infty$-algebras, cohomologies and homotopy of embedding tensors and Lie-Leibniz triples, Comm. Math. Phys. 386 (2021), 269-304.
  [35] J. Liu and Y. Sheng, Cohomologies of PoiMod pairs and compatible structures on Poisson algebras, J. Geom. Phys. 173 (2022), 104449.
  [36] J. Jiang and Y. Sheng, Representations and cohomologies of relative Rota-Baxter Lie algebras and applications, J. Algebra 602 (2022), 637-670.
  [37] R. Tang and Y. Sheng, Leibniz bialgebras, relative Rota-Baxter operators and the classical Leibniz Yang-Baxter equation, J. Noncommut. Geom. 16 (2022), No. 4, 1179-1211.
  [38] J. Jiang and Y. Sheng, Deformations, cohomologies and integrations of relative difference Lie algebras, J. Algebra 614 (2023), 535-563.
  [39] H. Lang and Y. Sheng, Factorizable Lie bialgebras, quadratic Rota-Baxter Lie algebras and Rota-Baxter Lie bialgebras, Comm. Math. Phys. 397 (2023), 763-791.
  [40] S. Hou, Y. Sheng and Y. Zhou, 3-post-Lie algebras and relative Rota-Baxter operators of nonzero weights on $3$-Lie algebras, J. Algebra 615 (2023), 103-129.
  [41] R. Tang and Y. Sheng, Nonabelian embedding tensors, Lett. Math. Phys. 113 (2023), 14.
  [42] R. Tang, C. Bai, L. Guo and Y. Sheng, Homotopy Rota-Baxter operators and post-Lie algebras, J. Noncommut. Geom. 17 (2023), No. 1, 1-35.
  [43] A. Lazarev, Y. Sheng and R. Tang, Homotopy relative Rota-Baxter Lie algebras, triangular $L_\infty$-bialgebras and higher derived brackets, Trans. Amer. Math. Soc. 376 (2023), 2921-2945.
  [44] J. Liu, Y. Sheng and C. Bai, Maurer-Cartan characterizations and cohomologies of compatible Lie algebras, Sci. China Math. 66 (2023), No. 6, 1177-1198.
  [45] Y. Sheng and Y. Wang, Quasi-triangular and factorizable antisymmetric infinitesimal bialgebras, J. Algebra 628 (2023), 415-433.
  [46] Y. Pei, Y. Sheng, R. Tang and K. Zhao, Actions of monoidal categories and representations of Cartan type Lie algebras, J. Inst. Math. Jussieu 22 (2023), No. 5, 2367-2402.
  [47] C. Bai, L. Guo, Y. Sheng and R. Tang, Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation, Math. Ann. 388 (2024), No. 3, 3127-3167.
  [48] J. Jiang, Y. Sheng and C. Zhu, Lie theory and cohomology of relative Rota-Baxter operators, J. London Math. Soc. 109 (2024), No. 2, e12863.
  [49] J. Jiang, Y. Li and Y. Sheng, Cohomologies of difference Lie groups and Van Est Theorem, J. Algebra 645 (2024), 116-142.
  [50] Y. Wang, C. Bai, J. Liu and Y. Sheng, Quasi-triangular, factorizable pre-Lie bialgebras and Rota-Baxter pre-Lie algebras, J. Geom. Phys. 199 (2024), 105146.
  [51] Y. Li, Y. Sheng and R. Tang, Post-Hopf algebras, relative Rota-Baxter operators and solutions of the Yang-Baxter equation, J. Noncommut. Geom. 18 (2024), No. 2, 605-630.
  [52] R. Tang, N. Xu and Y. Sheng, Symplectic structure, product structures and complex structures on Leibniz algebras, J. Algebra 647 (2024), 710-743.
  [53] S. Hou, Y. Sheng and Y. Zhou, Deformations, cohomologies and abelian extensions of compatible $3$-Lie algebras, J. Geom. Phys. 202 (2024), 105218.
  [54] Y. Sheng, R. Tang and F. Wagemann, From relative Rota-Baxter operators and relative averaging operators on Lie algebras to relative Rota-Baxter operators on Leibniz algebras: a uniform approach, Mathematical Research Letters 31 (5) (2024), 1551-1594.
  [55] J. Jiang and Y. Sheng, Deformations of modified r-matrices and cohomologies of related algebraic structures, J. Noncommut. Geom. 19 (2025), no. 2, pp. 429-450.
  [56] N. Xu and Y. Sheng, Leibniz 2-algebras, linear 2-racks and the Zamolodchikov Tetrahedron equation, J. Geom. Phys. 218 (2025), 105683.
  [57] S. Hou and Y. Sheng, Averaging Lie bialgebras, J. Algebra, 689 (2026), 390-422.
  [58] M. Goncharov, P. Kolesnikov, Y. Sheng and R. Tang, Formal integration of complete Rota-Baxter Lie algebras and Magnus expansion, Selecta Math. 32 (2026), 20.
  [59] N. Xu and Y. Sheng, Operator approaches to the reflection equation, J. Geom. Phys. 225 (2026), 105832.
  [60] J. Chuang, A. Lazarev, Y. Sheng and R. Tang, Cohomology of Lie coalgebras, J. Noncommut. Geom. (2026), doi:10.4171/JNCG/653

• 1. 2025年 韩国三级片 孙正聿教育教学改革奖
  2. 2024年 中国一汽奖教金
  3. 2024年 韩国三级片 本科“课堂教学质量奖”卓越奖
  4. 2023年 吉林省突出贡献奖
  5. 2023年 国家级教学成果奖二等奖（参加）
  6. 2022年 吉林省教学成果奖特等奖（参加）
  7. 2022年 “第一届中国科技青年论坛”三等奖
  8. 2021年 第十六届吉林省青年科技奖
  9. 2020年 吉林省政府津贴
  10. 2014年 吉林省自然科学学术成果奖二等奖
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