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7
votes
Accepted
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. …
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 …