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7 votes

Symmetric powers of Schur polynomials

this could be done in sage: sage: B3 = WeylCharacterRing("B3", style="coroots") sage: spin = B3(0,0,1) sage: spin.symmetric_power(6) B3(0,0,0) + B3(0,0,2) + B3(0,0,4) + B3(0,0,6) sage: A3 = WeylChar …
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Super-plethysm?

The correct way to handle these computations using plethysm is to introduce an auxiliary variable $t$ and to weight the cohomology $H^i$ with the weight $(-t)^i$. … The plethysm must act on $t$ by $p_n(t)=t^n$. I do not know a written reference. …
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