In the report,the idea of limits was used and the linearization of limits,commutative graphs,and cat-egories were performed to prove the isomorphism between the left limit Lie algebra and the right limit Lie algebra from different perspectives.The left limit Lie algebra and right bundle Lie algebras,combined with the proven conclusions,were taken into accounted,it was proven that these four Lie algebras are isomorphic to each other,and an infinite dimensional vector space was constructed.Finally,the commutative graphs were used to discuss their isomorphism and representation theory.
关键词
束李代数/极限/同构/表示理论
Key words
bundled Lie algebras/limits/isomorphism/representation theory
维普
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