  The eigenvalues and eigenfunctions of an elementary 3-fermion 2-body operator
$3P^2_g\wedge I^1\equiv A^3 \sum\limits_{1\leq i < j \leq 3} P^2_g(i,j)A^3$
acting on a 3-particle antisymmetric finite dimensional Hilbert space have been
found. Here $P^2_g$ denotes the projection operator onto a 2-particle
antisymmetric function $g^2$, while $A^3$ denotes the 3-particle
antisymmetrizing operator. keywords: spectral decomposition of operators,
fermion 2--body operators
