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arxiv: 1904.06573 · v1 · pith:KD27T4RKnew · submitted 2019-04-13 · 🧮 math.HO · math.CO

Frobenius's last proof

classification 🧮 math.HO math.CO
keywords prooffrobeniusidentitiesschurdirectlastpolynomialsimple
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Around about 1917, Issai Schur rediscovered the Rogers-Ramanujan identities, and proved a system of polynomial identities that imply them. Schur wrote that Georg Frobenius (his former advisor) had shown him a simple, direct proof of these polynomial identities. Schur did not see fit to reveal Frobenius's proof, preferring his own rather complicated proof. But it is easy enough to guess what this `simple, direct' proof must have been. As Frobenius died in 1917, we may call this `Frobenius's last proof'.

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