Paper Publications

• [1]  Xiao Ding , Yongzhi Luan  and Yupei Zhang. On the simple subalgebras of the Lie algebra e_{7 1/2}.  Journal of Algebra and Its Applications, 
• [2]  . Dirac cohomology, branching laws and Wallach modules.  Journal of Algebra,  664,  719, 2025. 
• [3]  . Dirac Series of E8(-24).  INTERNATIONAL MATHEMATICS RESEARCH NOTICES,  2025. 
• [4]  Yongzhi LUAN. Dynkin Indices, Casimir Elements and Branching Rules.  FRONTIERS OF MATHEMATICS,  20,  617, 2025. 
• [5]  Yi-Hao DING , Chao-Ping DONG , Chengyu DU , Yongzhi LUAN  and Liang YANG. Dirac series of E8(-24).  International Mathematics Research Notices,  2025,  2025. 
• [6]  Chao-Ping DONG , Yongzhi LUAN  and Haojun XU. Dirac cohomology, branching laws and Wallach modules.  Journal of Algebra,  664,  719, 2025. 
• [7]  Yongzhi LUAN. Orthogonal Projections of Root Systems to a Plane.  Accepted by journal, 
• [8]  Yongzhi Luan. Lie algebra e_{7 1/2} and Dynkin index.  Communications in Algebra,  2023. 
• [9]  Yongzhi LUAN. Nilpotent orbits and Dynkin indices of Lie algebras.  PhD thesis, The Hong Kong University of Science and Technology,  2021. 
• [10]  Yongzhi LUAN. Automorphism groups of simply reducible groups.  Asian-European Journal of Mathematics,  14,  Paper No. 2150088, 2021. 
• [11]  Yongzhi LUAN. Examples of simply reducible groups.  Journal of the Korean Mathematical Society,  57,  1187-1237, 2020. 
• [12]  Jing-Song HUANG , Yongzhi LUAN  and Binyong SUN. On Borel-de Siebenthal representations.  International Mathematics Research Notices,  2019,  4845–4858, 2019. 
• [13]  Pei-Chu HU  and Yong-Zhi LUAN. Non-Archimedean meromorphic solutions of functional equations.  Bulletin of the Belgian Mathematical Society Simon Stevin,  23,  373-383, 2016.