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个人简介

张健，教授，博士生导师，入选国家级青年人才、湖北省“百人计划”科技创新人才。研究领域：李代数、量子群、表示论。学术成果发表于Adv. Math.，Math. Z.，J. Algebra等期刊。

开设课程

本科生课程：抽象代数、群论、拓扑学、线性代数
研究生课程：李代数

研究方向

李代数、量子群、表示论

教育经历

2010.9-2015.12  华南理工大学应用数学 博士
2006.9-2010.7   华南理工大学数学与应用数学 学士

工作经历

2020.9-至今 华中师范大学数学与统计学院  教授

研究成果

1. Vyacheslav Futorny, Vera Serganova, Jian Zhang, Gelfand-Tsetlin modules for gl(m|n), Math. Res. Lett. , 28(5)(2021), 1379–1418.

2. Naihuan Jing,  Jian Zhang, Dynamical quantum determinants and Pfaffians，Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification. Birkhauser, Cham, 2021,427-440.

3. Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang, Gelfand-Tsetlin representations of finite W-algebras, Journal of Pure and Applied Algebra  224(5) (2020),106226.

4. Vyacheslav Futorny, Libor Krizka, Jian Zhang, Generalized Verma Modules over Uq (sln(C)), Algebras and Representation Theory 23 (2020), 811–832.

5. Vyacheslav Futorny, Libor Krizka, Jian Zhang, Quantum Howe duality and invariant polynomials, Journal of Algebra 530 (2019), 326-367. 

6. Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang, Combinatorial construction of Gelfand-Tsetlin modules for gl(n), Advances in Mathematics 343 (2019), 681-711. 

7. Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang, Explicit construction of irreducible modules for Uq(gln), Sao Paulo Journal of Mathematical Sciences 13 (2019), no. 1, 83-95

8. Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang, Gelfand-Tsetlin modules of quantum gln defined by admissible sets of relations, Journal of Algebra 499 (2018), 375–396.

9. Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang, Irreducible subquotients of generic Gelfand-Tsetlin modules over Uq(gln), Journal of Pure and Applied Algebra 222 (2018), no. 10, 3182–3194.

10. Naihuan Jing, Jian Zhang,  Capelli identity on multiparameter quantum linear groups, Science China Mathematics 61 (2018), no. 2, 253–268.

11. Naihuan Jing, Jian Zhang, Quantum hyperdeterminants and hyper-Pfaffians, Mathematische Zeitschrift 287 (2017), no.3-4, 897–914.

12. Naihuan Jing, Jian Zhang, Quantum Permanents and Hafnians via Pfaffians, Letters in Mathematical Physics 106 (2016), no. 10, 1451–1464.

13. Tommy Wuxing Cai, Naihuan Jing, Jian Zhang, Modular Macdonald functions and generalized Newton’s identity, Journal of Algebra 442 (2015), 124–136.

14. Naihuan Jing, Jian Zhang, Quantum Pfaffians and hyper-Pfaffians, Advances in Mathematics 265 (2014), 336–361.

研究项目

2021.1-2023.12 国家自然科学基金青年项目，主持
2022.6-2025.6  中央高校优秀青年团队项目，主持

附件

张健

English Version (英文版)