246) has defined a new class of symmetric functions q * indexed by partitions *. He conjectures that for n 2, &q (n) is the sum of Schur symmetric functions. This paper provides a proof of his conjecture.
This paper gives a method for computing the reduced poset homology of the rank-selected subposet of a distributive lattice. As an example of the method, let L be the lattice [a + 1] × . . . × [a + 1] (b-times). S b acts on L by permuting coordinates. For S ⊆ [ab], we give a description of the decomposition of the reduced homology of L S as an S b -module. This generalizes L. Solomon's result for decomposition of the reduced homology of the Boolean algebra (B b ) S as an S b -module.
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