张健 English Version (英文版)
职称教授
办公室六号楼M419
邮箱jzhang@mail.ccnu.edu.cn


个人简介


开设课程


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, Luis Enrique Ramirez, Jian Zhang, Gelfand-Tsetlin representations of finite W-algebras, Journal of Pure and Applied Algebra (2020), 106226.2.Vyacheslav Futorny, Libor Krizka, Jian Zhang, Quantum Howe duality and invariant polynomials, Journal of Algebra 530 (2019), 326-367. 3.Vyacheslav Futorny, Libor Krizka, Jian Zhang, Generalized Verma Modules over Uq(sln(C)), Algebras and Representation Theory (2019), 1-22. 4.Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang, Combinatorial construction of Gelfand-Tsetlin modules for gl(n), Advances in Mathematics 343 (2019), 681-711. 5.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, 83-95.6.Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang, Gelfand-Tsetlin modules of quantum gln defined by admissible sets of relations, Journal of Algebra 499 (2018), 375–396.7.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, 3182–3194.8.Naihuan Jing, Jian Zhang, Capelli identity on multiparameter quantum linear groups, Science China Mathematics 61 (2018), no. 2, 253–268.9.Naihuan Jing, Jian Zhang, Quantum hyperdeterminants and hyper-Pfaffians, Mathematische Zeitschrift 287 (2017), no.3-4, 897–914.10.Naihuan Jing, Jian Zhang, Quantum Permanents and Hafnians via Pfaffians, Letters in Mathematical Physics 106 (2016), no. 10, 1451–1464.11.Tommy Wuxing Cai, Naihuan Jing, Jian Zhang, Modular Macdonald functions and generalized Newton’s identity, Journal of Algebra 442 (2015), 124–136.12.Naihuan Jing, Jian Zhang, Quantum Pfaffians and hyper-Pfaffians, Advances in Mathematics 265 (2014), 336–361.

研究项目


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