典型李代数自然表示及相关表示的满射问题
Surjectivity about the Natural Representation and Related Representations of Classical Lie Algebras
DOI: 10.12677/pm.2025.1511284, PDF,   
作者: 魏栢翔：天津师范大学数学科学学院，天津
关键词: 典型李代数；自然表示；满射；Classical Lie Algebras； Natural Representations； Surjectivity
摘要: 本文考虑典型李代数的自然表示及其对偶表示、直和表示及张量表示的满射问题，得到 A l 在 l=1 时以及 B l , C l , D l 型李代数的张量表示不满，其余都是满表示。
Abstract: This paper investigates the surjectivity problem of natural representations, their dual representations, direct sum representations, and tensor representations of classical Lie algebras. It is concluded that the tensor representations of type A l when l=1 and type B l , C l , D l Lie algebras are not surjective, while all the others are surjective representations.
文章引用：魏栢翔. 典型李代数自然表示及相关表示的满射问题[J]. 理论数学, 2025, 15(11): 233-238. https://doi.org/10.12677/pm.2025.1511284

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