Sharp representation stability bounds are established for rank-selected homology of Boolean and partition lattices, with new ribbon bases constructed for geometric lattices that serve as a matroid-theoretic analogue of Specht modules and resolve Björner's open question.
Stanley, Some aspects of groups acting on finite posets.J
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Stability and ribbon bases for the rank-selected homology of geometric lattices
Sharp representation stability bounds are established for rank-selected homology of Boolean and partition lattices, with new ribbon bases constructed for geometric lattices that serve as a matroid-theoretic analogue of Specht modules and resolve Björner's open question.