Caiyanan Associate professor

1. Cai, Yan-an; Tan, Haijun; Zhao, Kaiming. New representations of affine Kac-Moody algebras. J. Algebra 547 (2020), 95–115.

2. He, Yan; Cai, Yan-an; L\{u}, Rencai. A class of new simple modules for $\mathfrak{sl}_{n+1}$ and the Witt algebra. J. Algebra 541 (2020), 415–435. (corresponding author)

3. Cai, Yan-an; Zhang, Xiufu. Simple singular Whittaker modules over the Schrödinger algebra. Commun. Math. Stat. 7 (2019), no. 4, 475–483.

4.Cai, Yan-an; Liu, Genqiang; Jonathan, Nilsson; Zhao, Kaiming. Generalized Verma modules over $\mathfrak{sl}_{n+2}$ induced from $U(\mathfrak{h}_n)$-free $\mathfrak{sl}_{n+1}$-modules,J. Algebra 502 (2018), 146-162.

5.Cai, Yan-an; Chen, Qiufan. Quasi-Whittaker modules over the conformal Galilei algebras, Linear Multilinear Algebra 65 (2017), no. 2, 313-324.

6.Cai, Yan-an;  Tan, Haijun; Zhao, Kaiming. Module structures on $U(\mathfrak{h})$ for Kac-Moody algebras (in Chinese), Sci. Sin. Math. 47(2017), 1-24.

7. Cai, Yan-an. Shen, Ran; Zhang, Jiangang. Whittaker and Quasi-Whittaker modules over the Euclidean algebra $\mathfrak{e}(3)$, J. Pure Appl. Algebra 220 (2016), no. 4, 1419-1433.

8. Cai, Yan-an; Zhao, Kaiming. Module structure on $U(H)$ for basic Lie superalgebras, Toyama Math. J. 37 (2015), 55-72.
9. Chen, Qiufan; Cai, Yan-an. Modules over algebras related to the Virasoro algebra. Internat. J. Math. 26 (2015), no. 9, 1550070, 16 pp. (correspoding author)

10. Cai, Yan-an; Gao, Yun; Wang, Yongjie. Simple Harish-Chandra supermodules over the super Schr\{o}dinger algebra. Sci. China Math. 58 (2015), no. 12, 2477-2488.