Proof of Stembridge’s conjecture on stability of Kronecker coefficients
作者： Steven V Sam , Andrew Snowden
DOI: 10.1007/S10801-015-0622-1
关键词: Kronecker delta 、 Kronecker's theorem 、 Kronecker product 、 Stability (learning theory) 、 Combinatorics 、 Finitely-generated abelian group 、 Conjecture 、 Duality (mathematics) 、 Kronecker symbol 、 Mathematics
摘要: We prove a conjecture of Stembridge concerning stability Kronecker coefficients that vastly generalizes Murnaghan's theorem. The main idea is to identify the sequences in question with Hilbert functions modules over finitely generated algebras. proof only uses Schur-Weyl duality and Borel-Weil theorem does not rely on any existing work coefficients.
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