An explicit field-independent SL2-equivariant isomorphism is given between tensor invariant spaces and plethysm spaces, extending Hermite reciprocity and related maps, plus a combinatorial proof that the Hermite map is triangular with 1s on the diagonal.
An overview of mathematical issues arising in the geometric complexity theory approach to V P V N P
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Field-independent Kronecker-plethysm isomorphisms
An explicit field-independent SL2-equivariant isomorphism is given between tensor invariant spaces and plethysm spaces, extending Hermite reciprocity and related maps, plus a combinatorial proof that the Hermite map is triangular with 1s on the diagonal.