生雲鶴,男,博士,現為吉林大學數學學院基礎數學系教授、博士生導師。
基本介紹
- 中文名:生雲鶴
- 畢業院校:北京大學
- 學位/學歷:博士
- 專業方向:基礎數學
- 職務:吉林大學數學學院博士生導師
人物經歷,教育經歷,工作經歷,研究方向,講授課程,科研項目,學術論文,
人物經歷
教育經歷
2000.09-2004.07, 吉林大學數學學院
2004.09-2008.12, 北京大學數學學院 博士
2007.12-2008.11, Math. Dep. Utrecht Uni. Netherlands, joint Ph.D
工作經歷
2008.12-2009.07, CRC, Goettingen Uni. Post doctor
2009.01-2011.01, 大連理工大學數學學院 博士後
2009.06-2011.08 吉林大學數學學院 副教授
2008.07.01-2008.07.12, Conference Poisson 2008, Bernnoulli Center, EPFL, Lausanne, Switzerland.
2010.07.02-2010.08.19, ANU, visiting scholar, Austrilia
2010.09.12-2010.09.19, Geometry and Physics VIII, Scalea, Italy
2012.06.27-2012.08.07, Goettingen Uni. visiting scholar, Germany
2012.07.22-2012.08.03, Conference Poisson 2012, Utrecht Uni., Holland
2013.06.21-2013.07.31, Goettingen Uni. visiting scholar, Germany
2013.06.25-2013.06.28, Conference Higher algebras and Lie-infinity homotopy theory, Luxembourg Uni., Luxembourg
2013.07.22-2013.07.26, Conference in honor of Alan Weinstein, Bernnoulli Center, EPFL, Lausanne, Switzerland.
2014.07.05-2014.07.24, Goettingen Uni. visiting scholar, Germany
2014.11.26-2014.12.10, Goettingen Uni. visiting scholar, Germany
2014.11.30-2014.12.06, Conference ;Algebra, deformation and quantum groups;, CIRM, France
2015.04.30-2015.05.16, Goettingen Uni. visiting scholar, Germany
2015.05.10-2015.05.15, Conference ;Geometry of Jets and Fields;, Bedlewo, Banach Center, Poland
2015.07.12-2015.08.07, Penn State University, visiting scholar, US
2016.06.21-2016.07.23, University of Haute Alsace, visiting scholar, Mulhouse, France
2016.07.03-2016.07.09, Poisson 2016, Zurich,Switzerland.
2016.07.09-2016.07.17,Goettingen Uni. visiting scholar, Germany
2016.07.17-2016.07.21,Geneva Uni., visiting scholar,Switzerland.
2016.12.13-2017.12.12,Penn State University, visiting scholar, US
2011.09-至今 吉林大學數學學院 教授
研究方向
數學物理、Poisson幾何、高階李理論。
講授課程
2009.09-2010.01, 空間解析幾何, 2009基地班
2010.03-2010.07, 微分幾何初步, 2007基礎數學專業
2010.09-2011.01, 空間解析幾何, 2010基地班+2010唐敖慶班
2011.03-2011.06, 黎曼幾何, 2010級研究生
2011.08-2011.12, 李群在微分方程中的套用 2010級研究生
2011.09-2012.01, 空間解析幾何, 2011基地班+2011唐敖慶班
2012.03-2012.06, 微分幾何初步, 2009基礎數學專業+基地班+唐班
2012.09-2013.01, 空間解析幾何, 2012基地班+2011唐敖慶班
2013.03-2013.07, 微分幾何初步, 2010基礎數學專業+基地班+唐班
2013.09-2014.01, 空間解析幾何, 2013基地班+2013唐敖慶班
2014.03-2014.07, 微分幾何初步, 2011基礎數學專業+基地班
2014.09-2015.01, 空間解析幾何, 2014基地班+2014唐敖慶班
2014.09-2015.01, 黎曼幾何, 2013級研究生
2015.09-2016.01, 空間解析幾何, 2015級本科生
2016.09-2017.01, 空間解析幾何, 2016級本科生
2016.08-2017.01, 微分幾何幾何, 2013級本科生數學與套用數學專業
科研項目
吉林大學科研啟動經費 2009.09-2010.09 負責人
吉林大學科研配套經費 2009.09-2012.12 負責人
吉林大學基本科研業務費 2010.01-2011.12 負責人
數學學院青年教師基金 2009.09-2010.09 負責人
博士後基金(20090451267,Courant代數胚的可積性)2009.09-2011.01 負責人
數學天元基金(11026046,高階李理論)2011.01-2011.12 負責人
博士點新教師基金(20100061120096,高階李理論)2011.01-2013.12 負責人
青年科學基金項目(11101179,Poisson幾何與高階李理論 )2012.01-2014.12 負責人
吉林省青年基金(20140520054JH,Courant代數胚與高階結構) 2014.01-2016.12 負責人
國家自然科學基金(11471139,Poisson幾何、高階結構及其在數學物理中的套用) 2015.01-2018.12 負責人
吉林省自然科學基金(20170101050JC,Courant代數胚及其在數學物理中的套用) 2017.01-2019.12 負責人
學術論文
1. Y. Sheng, Linear Poisson structures on R^4, J. Geom. Phys. 57 (2007), 2398-2410.
2. B. Chen and Y. Sheng, Poisson-Nijenhuis structures on oriented 3D-manifolds, Rep. Math. Phys. 61 (3) (2008), 361-380.
3. Q. Lin, Z. Liu and Y. Sheng, Quadratic deformations of Lie-Poisson structures on R^3, Lett. Math. Phys. 83 (2008), 217-229.
4. Y. Sheng, Jacobi quasi-Nijenhuis algebroids, Rep. Math. Phys. 65 (2010.04), 271-287
5. Z. Chen, Z. Liu and Y. Sheng, E-Courant algebroids, Int. Math. Res. Not. Vol. (2010.03), No. 22, pp. 4334–4376.
6. Y. Sheng, Z. Liu and C. Zhu, Omni-Lie 2-algebras and their Dirac structures, J. Geom. Phys. 61 (2011.02), pp. 560-575. impact factor 1.055
7. Y. Sheng and C. Zhu, Semidirect products of representations up to homotopy, Pacific J. Math. 249 (2011.01), No. 1, 211–236.
8. Y. Bi and Y. Sheng, On higher analogues of Courant algebroids, Sci. China Math. (2011.03) Vol. 54 No. 3: 437-447.
9. Z. Chen, Z. Liu and Y. Sheng, Dirac structures of omni-Lie algebroids, Int. J. Math.,Vol. 22, No. 8 (2011.08) 1163–1185.
10. Y. Sheng and C. Zhu, Integration of semidirect product Lie 2-algebras, Int. J. Geom. Methods Mod. Phys. Vol. 9, No. 5 (2012.08) 1250043.
11. S. Chen, Y. Sheng and Z. Zheng, Non-abelian Extensions of Lie 2-algebras, Sci. China. Math. (2012.08) Vol. 55 No. 8: 1655-1668. impact factor 0.497
12 Y. Sheng, On deformations of Lie algebroids, Results. Math. 62 (2012.09), 103-120. impact factor 0.508
13 Y. Sheng and C. Zhu, Integration of Lie 2-Algebras and Their Morphisms, Lett. Math. Phys. 102 (2), (2012.11), 223-244.impact factor 2.415
14 Y. Sheng, Representations of hom-Lie algebras, Algebr. Represent. Theory,15 (6) (2012.12) 1081-1098. impact factor 0.554
15 Y. Sheng and D. Chen, Hom-Lie 2-algebras, J. Algebra, 376 (2013.02) 174–195. impact factor 0.604
16 Y. Sheng and Z. Liu, Leibniz 2-algebras and twisted Courant algebroids, Comm. Algebra. 41 (05),1929-1953. impact factor 0.388
17 C. Bai, Y. Sheng and C. Zhu, Lie 2-bialgebras,Comm. Math. Phys. 320 (2013.05) 149-172. impact factor 1.901
18 Y. Sheng and C. Bai, A new approach to hom-Lie bialgebras, J. Algebra, 399(2014.02), 232–250. impact factor 0.599
19 Z. Chen, Y. Sheng and Z. Liu, On Double Vector Bundles, Acta. Math. Sinica, 30 (10), (2014.10), 1655-1673. impact factor 0.475
20 Z. Liu, Y. Sheng and T. Zhang, Deformations of Lie 2-algebras, J. Geom. Phys. 86 (2014.12) 66–80.impact factor 0.870
21 Y. Bi and Y. Sheng, Dirac structures for higher analogues of Courant algebroids, Int. J. Geom. Methods Mod. Phys. Vol. 12, No. 1 (2015.01) 1550010. 1.068
22 Y. Sheng and Z. Xiong, On hom-Lie algebras, Linear Multilinear Algebra, Vol. 63, No. 12(2015.12), 2379–2395, Im 0.761
23 L. Cai and Y. Sheng, Hom-big brackets: theory and applications, SIGMA, 12 (2016.01), 014, 18 pages.Im 0.765
24 Y. Sheng and Z.Liu, From Leibniz algebras to Lie 2-algebras, Algebr. Represent. Theory (2016.02) 19, Issue 1, pp 1-5. Im 0.621
25 H. Lang, Z. Liu and Y. Sheng, Integration of derivations of Lie 2-algebras, Transformation Groups, 21 (2016.03), 1, 129-152. 0.583
26 Z. Liu, Y. Sheng and X. Xu, The Pontryagin class for pre-Courant algebroids, J. Geom. Phys. 104 (2016.06), 148-162. 0.819
27 J. Liu, Y. Sheng, Y. Zhou and C.Bai, Nijenhuis Operators on n-Lie Algebras, Commun. Theor. Phys. 65 (2016.06) 659–670. Im 0.989
28 J. Liu, Y. Sheng, C. Bai and Z. Chen, Left-symmetric algebroids, Math. Nachr. 289, No. 14–15, 1893–1908 (2016.10), 0.742
29 H. Lang, Y. Sheng and X. Xu, Nonabelian omni-Lie algebras, Banach Center Publications, 110 (2016),167-176.
30 H. Lang, Y. Sheng and X. Xu, Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids, Lett. Math. Phys. 107 (5) (2017.05), 861-885.
31 Y. Sheng and C. Zhu, Higher extensions of Lie algebroids, Commun. Contemp. Math. 19 (3), 1650034 (2017.06), 41 pages
32 J. Liu, Y. Sheng and C. Wang, Omni n-Lie algebras and linearization of higher analogues of Courant algebroids, Int. J. Geom. Methods Mod. Phys. 14 (7), (2017.07), 1750113, 18 pages.
33 Y. Zhou, Y. Li and Y. Sheng, 3-Lie-infty-algebras and 3-Lie 2-algebras, J Algebra Appl. 16 (9) (2017.09), 1750171, 20 pages.
34 L. Cai, J. Liu and Y. Sheng,Hom-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroids, J. Geom. Phys. (2017.11) 121, 15-32.
35 J. Liu, A. Makhlouf and Y. Sheng, A new approach to representations of 3-Lie algebras and abelian extensions, Algebr. Represent. Theory Algebr Represent Theor (2017) 20:1415–1431
36 J. Liu, Y. Sheng and C. Bai, Pre-symplectic algebroids and their applications, Lett. Math. Phys. (2017.12) DOI 10.1007/s11005-017-0973-8
37 L. Cai and Y. Sheng, Purely Hom-Lie bialgebras,to appear in Sci. China. Math.
38 J. Liu, Y. Sheng and Q. Wang, On non-abelian extensions of Leibniz algebras, Comm. Algebra. (2018) http://dx.doi.org/10.1080/00927872.2017.1324870
39 J. Liu and Y. Sheng, QP-structures of degree 3 and LWX 2-algebroids,
40 C. Bai, L. Guo and Y. Sheng, Bialgebras, the classical Yang-Baxter equation and Manin triples for 3-Lie algebras
41 H. Lang, Y. Sheng and A. Wade, VB-Courant algebroids, E-Courant algebroids and generalized geometry, arXiv:1705.10316
42 R.Tang and Y. Sheng, Cohomological characterizations of non-abelian extensions of strict Lie 2-algebras, arXiv:1705.09163
43 J. Liu, Y. Sheng and C. Bai, Left-symmetric bialgebroids and their corresponding Manin triples, arXiv:1705.08299
44 Y. Sheng, X. Xu and C. Zhu, String principal bundles and Courant algebroids, arXiv:1701.00959
45 Y. Sheng, Categorification of Pre-Lie Algebras and Solutions of 2-graded Classical Yang-Baxter Equations, arXiv:1403.2144