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Software
See: Math notebook, Classical Lie groups
Understand the relationship between {$A_{n+1}$}, {$SL(n)$} and {$SU(n)$}.
Investigation
- Relate the Lie algebra with the corresponding Lie group.
Readings
- How are {$SU(n)$}, {$SL(n)$} and {$\mathfrak{sl}(n,C)$} related?
- How is {$SL(2,\mathbb{C})$} the complexification of {$SU(2)$}?
- Alberto Elduque. Lie algebras.
- The Story of sl(2,C)and its Representations. Charlotte Chan.
- FlorianWisser. Classification of complex and real semisimple Lie Algebras
- Complexification of Lie group
- Lie group - Lie algebra correspondence
- Complex torus
- Semisimple Lie algebra
- Closed subgroup theorem
- Quantum chromodynamics