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Stability and ribbon bases for the rank-selected homology of geometric lattices

Hersh, Patricia et al.
arXiv (All) · Papers
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05b3505e1005e18algebraic-topologycombinatoricsrepresentation-theory
This paper analyzes the representation theoretic stability, in the sense of Thomas Church and Benson Farb, of the rank-selected homology of the Boolean lattice and the partition lattice, proving sharp uniform representation stability bounds in both cases. It proves a conjecture of the first author a
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