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math.RT2010
Fredman's reciprocity, invariants of abelian groups, and the permanent of the Cayley table
Dmitri I. Panyushev
Let be the regular representation of a finite abelian group and let denote the cyclic group of order . For , we compute the Poincare series of all -iso…
math.RT2010
On divisible weighted Dynkin diagrams and reachable elements
Dmitri I. Panyushev
Let D(e) denote the weighted Dynkin diagram of a nilpotent element in complex simple Lie algebra $\g$. We say that D(e) is divisible if D(e)/2 is again a weighted Dynkin diagra…