Post #2121853
2026-04-22 21:18 UTC
### "Twists" (Parody of "Dreams" by The Cranberries)
**Verse 1**
Oh, my group is changing every day
In every possible way
And oh, my rings
The scalar multiplier brings
A twist to everything
**Pre-Chorus 1**
I multiplied these terms before
But now the scalars matter even more
Because the twist came through
A 2-cocycle out of the blue...
**Chorus**
And then I multiply and see
The loss of commutativity!
A twisted basis set, $u_g$
It alters the geometry...
La-da-da-da, da-da-da-da...
Replies (1)
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@mikemol@pony.social 2026-04-22 21:19
**Verse 2** Take $S_3$, impossible to ignore A permutation group to explore We twist the Sylow-3 A brand new algebra to see... **Pre-Chorus 2** I know the axioms like before But standard bases are an absolute bore Because the twist came through $\alpha(g, h)$ is pulling us through... **Chorus** And then I evaluate and see Preserving associativity! $\alpha(g, h)\alpha(gh, k)$ It balances out perfectly! **Outro** Ah-ah, oh-oh A bank-shot off causality Ah-ah, oh-oh Just twisted group topology Ah-ah, oh-oh...