[Verse 1]
When abelian groups need dissection
Characters become the key
Fourier waves through decomposition
Show us hidden symmetry
Every function breaks to pieces
Through representations clean and bright
[Chorus]
Four connections weaving forward
Characters to quantum spins
Galois dreams meet automorphic forms
Where the Langlands bridge begins
Finite groups to Lie continuums
Symmetry in every turn
Four connections weaving forward
Mathematical bridges burn
[Verse 2]
Quantum particles dance in circles
Angular momentum's secret face
S-O-three representations spinning
Through rotational embrace
What was discrete becomes continuous
Physics speaks through group theory's tongue
[Chorus]
Four connections weaving forward
Characters to quantum spins
Galois dreams meet automorphic forms
Where the Langlands bridge begins
Finite groups to Lie continuums
Symmetry in every turn
Four connections weaving forward
Mathematical bridges burn
[Bridge]
Galois guards the number fields
While automorphic forms unfold
Langlands whispers correspondence
Stories yet to be retold
From the finite to infinite
Lie groups stretch what we have learned
[Verse 3]
Course nine beckons with smooth manifolds
Where continuous meets discrete
Every symmetry finds its voice here
Making abstract theory complete
From Fourier's abelian starting point
To Lie's magnificent design
[Final Chorus]
Four connections weaving forward
Characters to quantum spins
Galois dreams meet automorphic forms
Where the Langlands bridge begins
Finite groups to Lie continuums
Symmetry in every turn
Four connections weaving forward
Path two algebra confirmed
[Outro]
Representation theory's golden thread
Connects what seemed apart
Four bridges built on solid ground
Mathematics' beating heart