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arxiv: 1903.11133 · v2 · pith:4VBFMHGQnew · submitted 2019-03-26 · 🧮 math.RT · math.CO

The uniqueness of plethystic factorisation

Chris Bowman , Rowena Paget This is my paper
classification 🧮 math.RT math.CO
keywords plethysmclassifyfactorisationfactorisedfunctionshomogeneousindecomposableplethystic
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We prove that a plethysm product of two Schur functions can be factorised uniquely and classify homogeneous and indecomposable plethysm products.

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  1. Plethysms of symmetric functions and representations of $\mathrm{SL}_2(\mathbb{C})$

    math.RT 2019-07 unverdicted novelty 7.0

    Classifies isomorphisms ∇^λ Sym^ℓ E ≅ ∇^μ Sym^m E for SL2(C) when partitions are conjugate or rectangular, gives complete results for two-row/column or hook shapes and partial when ℓ=m, and determines all irreducibili...