The bosonic and fermionic polynomial degree conjecture
Let kkk indistinguishable bosons have G=SU(N)G={\rm SU}(N)G=SU(N) with N=(n+k−1k)N={{n+k-1}\choose{k}}N=(kn+k−1), and let kkk indistinguishable fermions have G=SU(K)G={\rm SU}(K)G=SU(K) with K=(nk)K={{n}\choose{k}}K=(kn). In both ca…