OpenAI reports universal tensor squares for symmetric groups
- Mathematics
For every positive integer n outside {2,4,9}, some irreducible complex representation of Sₙ has a tensor square containing every irreducible complex representation of Sₙ.
OpenAI reports universal tensor squares for symmetric groups
- Mathematics
For every positive integer n outside {2,4,9}, some irreducible complex representation of Sₙ has a tensor square containing every irreducible complex representation of Sₙ.
Curated contributions 1
Understand the problem ↓Understanding the problem
Read the background
For every positive integer n outside {2,4,9}, some irreducible complex representation of Sₙ has a tensor square containing every irreducible complex representation of Sₙ.
Why it matters
If correct, resolves the universal tensor-square conjecture for every possible symmetric-group degree.
What counts as progress
Does every symmetric group outside the known exceptions have a universal irreducible tensor square?
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OpenAI reports universal tensor squares for symmetric groups