
一、个人基本情况
陈佳蕾,女,副教授,硕士生导师。主要研究方向:环与代数,特别是Hopf 代数、量子群及其表示理论。主讲本科生课程高等代数I、高等代数II、线性代数(工)、线性代数(经),以及研究生课程有限维李代数、无限维李代数、Hopf代数、量子群等。
二、主要科研项目
1. 国家自然科学基金青年基金项目,11701019,对角型Nichols代数及其Drinfeld double的结构和表示,2018/01-2020/12,主持,结题;
2. 北京市教委科技计划一般项目,KM202110005012,有限维Hopf代数的表示及相关问题研究, 2021/01-2023/12,主持,结题.
三、代表性论文:
1. Jialei Chen, Shilin Yang, Restricted forms of quantum supergroups,J. Math. Phys., 2012, 53: 043505(SCI)
2. Jialei Chen, Shilin Yang, Quantum superalgebras uq(sl(m|n)) at roots of unity,Front. Math. China, 2012, 7(4):607~628(SCI)
3. Jialei Chen, Shilin Yang, Algebra automorphisms of the two parameter quantum superalgebra Ur,s(osp(1,2,c)), Far East J. Math. Sci, 2012, 64(1):63~80(EI)
4. Jialei Chen, Junli Liu, R-matrix for the two parameter quantum superalgebra Ur,s(osp(1|2n), J. Math. Phys., 2016, 57:021706(SCI)
5. Yongjun Xu, Dingguo Wang, Jialei Chen. Analogues of quantum Schubert cell algebras in PBW-deformations of quantum groups. J. Algebr. Appl. 2016, 15(9): 1650179. (SCI)
6. Guang Sun, Jialei Chen, Bing Zhu, Generalized predictive control for spacecraft attitude based on adaptive fuzzy estimator, J Aerospace Eng. 2017, 30(5), 04017024(SCI)
7. Jialei Chen, Shilin Yang, Ribbon Hopf superalgebras and Drinfel′d double,Chin. Ann. Math. Ser. B, 2018, 39(6), 1048-1064 (SCI)
8.Jialei Chen, Liang Sun, Guang Sun*, Li Yongyuan, Bing Zhu. Generalized predictive tracking control of spacecraft attitude based on hyperbolic tangent extended state observer, Advances in Space Research, 2020, 66(2): 335-344
9. Jialei Chen, Shilin Yang, Dingguo Wang. The Grothendieck rings of a class of Hopf Algebras of Kac-Paljutkin type, Front. Math. China, 2021, 16(1), 29-47(SCI)
10. Guang Sun; Jialei Chen; Yingqiong Yong; Yongyuan Li ; Generalized predictive control of spacecraft attitude with adaptive predictive period, Int J Adapt Control, 2021, 36(3), 596-606
11. Jialei Chen, Shilin Yang, Remarks on Sekine quantum groups. Czechoslovak Math. J. 2022, 72(147), 695-707(SCI)
12. Fengxia Gao , Jialei Chen*. Conjugacy classes of left ideals of Sweedler's four-dimensional algebra H4, AIMS Mathematics, 2022, 7 (5) , 7720-7727(SCI)
13. Yongjun Xu, Jialei Chen*. A new type restricted quantum group,J. Math. Phys., 2023,64(6), 061701(SCI)
14. Pengcheng Ji, Jialei Chen*, Fengxia Gao .Projective class ring of a restricted quantum group Uq(sl*2), AIMS Mathematics, 2023, 8 (9) , 19933-19949(SCI)
15. Yongjun Xu; Jialei Chen*. Hopf PBW-deformations of a new type quantum group Uq(sl_2*) and deformed preprojective algebras, International Journal of Mathematics, 2024, 35: 2450003(SCI)
16. Yongjun Xu; Jialei Chen*. Revisit on representation theory of quantum group Uq(sl2), Bull. Math. Soc. Sci. Math. Roumanie Tome 2024, 67 (115), (1), 23–32
四、联系方式
E-mail:chenjialei@bjut.edu.cn