李康桥
姓名: 李康桥
职称: 副教授
邮箱: kqli@hznu.edu.cn
研究方向:Hopf代数与张量范畴
教学与课程:
1. 本科生课程:线性代数、近世代数等;
2. 研究生课程:代数学基础等。
承担课题:
1. 2024-01至2026-12:基于Hopf代数方法的有限张量范畴对偶不变量的研究,国家自然科学基金青年项目,主持;
2. 2023-01至2025-12:有限生成Hopf代数的结构研究,浙江省自然基金探索青年项目,主持。
学术研究:
1. K. Li. Frobenius-Schur indicators of dual fusion categories and semisimple partially dualized quasi-Hopf algebras. preprint, arXiv:2501.03042.
2. K. Li. Partially dualized quasi-Hopf algebras reconstructed from dual tensor categories to finite-dimensional Hopf algebras. preprint, arXiv:2309.04886.
3. J. Yu, K. Li and G. Liu. Hopf algebras with the dual Chevalley property of finite corepresentation type. Algebra Represent. Theory, 27 (2024), 1821-1867.
4. K. Li and G. Liu. Finite duals of affine prime regular Hopf algebras of GK-dimension one. AIMS Mathematics 8 (2023), No.3, 6829-6879.
5. K. Li. The link-indecomposable components of Hopf algebras and their products. J. Algebra 593 (2022), 235-273.
6. K. Li and G. Liu. On the antipode of Hopf algebras with the dual Chevalley property. J. Pure Appl. Algebra 226 (2022), no. 3, Paper No. 106871, 15 pp.
7. K. Li. Note on invariance and finiteness for the exponent of Hopf algebras. Comm. Algebra 50 (2022), no. 2, 484-497.
8. K. Li and S. Zhu. On the exponent of finite-dimensional non-cosemisimple Hopf algebras. Comm. Algebra 47 (2019), no. 11, 4476-4495.