Compact Lie Groups with Isomorphic Homotopy Groups

Key Points

• The research aims to investigate the relationship between compact connected Lie groups with isomorphic higher homotopy groups and their local isomorphism.
• Analysis of the structure of compact connected Lie groups
• Comparison of higher homotopy groups
• Mathematical proofs of local isomorphism properties
• Identified that compact connected Lie groups with isomorphic higher homotopy groups are locally isomorphic
• Confirmed that this property holds across various examples of Lie groups