Scientific Research

• Pieri Rule and Highest Weight Modules of the General Linear Algebras

• Representation Theory and generalized Fourier transformation

• Yongzhi LUAN. Orthogonal Projections of Root Systems to a Plane.  Accepted by journal,  2023. 
• Yongzhi LUAN. Dynkin Indices, Casimir Elements and Branching Rules.  Accepted by journal,  2023. 
• Yongzhi Luan. Lie algebra e_{7 1/2} and Dynkin index.  Communications in Algebra,  2023. 
• Yongzhi LUAN. Nilpotent orbits and Dynkin indices of Lie algebras.  PhD thesis, The Hong Kong University of Science and Technology,  2021. 
• Yongzhi LUAN. Automorphism groups of simply reducible groups.  Asian-European Journal of Mathematics,  14,  Paper No. 2150088, 2021. 
• Yongzhi LUAN. Examples of simply reducible groups.  Journal of the Korean Mathematical Society,  57,  1187-1237, 2020.