周忠国
- 河海大学数学学院, 副教授
- 研究领域为代数群, 量子群的结构与表示理论
- 邮箱: zhghou@hhu.edu.cn
简历
2006.7-至今 河海大学数学学院
2003.9-2006.7 同济大学基础数学博士, 导师为叶家琛教授
2000.7-2003.9 济南大学数学系讲师
1997.9-2000.7 同济大学基础数学硕士, 导师为叶家琛教授
1993.9-1997.7 烟台师范学院数学系本科
教学
- 主讲《高等数学》,《抽象代数》,《线性代数》等课程.
论文
- Luo Li, Xirui Yu, and Zhongguo Zhou. Three Approaches to the Howe Duality between Quantum General Linear Supergroups. Communications in Algebra, July, 2026, 1–20. doi:10.1080/00927872.2026.2695320.
- Du Jie, Gu Haixia and Zhou Zhongguo. Canonical bases for the modified quantum \(\mathfrak{gl}_{m|n}\). Proc. Sympos. Pure Math., 108 American Mathematical Society, Providence, RI, 2024, 127–157.
- Gu Haixia, Zhou Zhongguo. Regular representations of quantum supergroups \(U_v(\mathfrak{gl}_{m|n})\) and \(U_v(\mathfrak{q}_n)\). East China Norm. Univ. Sci. Rep., 16 World Scientific Publishing Co. Pte. Ltd., Singapore, 2023, 179–211.
- J. Du, Y. Lin and Z. Zhou, Quantum queer supergroups via \(v\)-differential operators, J. Alg. 599(2022), 48-103.
- J. Du, Y. Lin and Z. Zhou. Polynomial super representations of \(U^{\text{res}}_q(\mathfrak{gl}_{m|n})\) at roots of unity. J. Algebr. Comb. 51(2020), 195–235.
- Du Jie, Zhou Zhongguo. The regular representation of \(U_v(\mathfrak{gl}_{m|n})\) Proc. Amer. Math. Soc. 148 (2020), no. 1, 111–124.
- Du Jie, Gu Haixia and Zhou Zhongguo. Multiplication formulas and semisimplicity for \(q\)-Schur superalgebras. Nagoya Math. J. 237 (2020), 98–126.
- Zhou Z. Fixed Points Subalgebra of Vertex Operator Algebras Associated to Affine Algebras of Type A. Communications in Algebra, 44(8), 2016, 3557–3569. https://doi.org/10.1080/00927872.2015.1085992.
- Zhou Z. Rigidity of Formal Characters of Lie algebras of type A,Journal of Lie Theory,2015(2).
- 叶家琛, 周忠国. A型代数群的不可约模的权集,同济大学学报,2006(12).
- Ye Jiachen and Zhou Zhongguo. A New Multiplicity Formula for the Weyl Modules of Type A,Communications in Algebra,2005(5).
- Ye Jiachen and Zhou Zhongguo. IRREDUCIBLE CHARACTERS FOR ALGEBRAIC GROUPS IN CHARACTERISTIC THREE. II. Communications in Algebra, 2002, 30(1), 273–306. https://doi.org/10.1081/AGB-120006491.
- Ye Jiachen and Zhou Zhongguo. Irreducible Characters of Algebraic Groups in Characteristic Two (III). Commun. Algebra, 2000, 28(9): 4227 – 4247.
- Ye Jiachen and Zhou Zhongguo. Irreducible Characters of Algebraic Groups in Characteristic Two (II). Algebra Colloquium, 1999, 6(4): 401 – 411.