THE HOMOLOGY REPRESENTATIONS OF THE k-EQUAL PARTITION LATTICE

@inproceedings{Sundaram1994THEHR,
  title={THE HOMOLOGY REPRESENTATIONS OF THE k-EQUAL PARTITION LATTICE},
  author={Sheila Sundaram and Michelle L. Wachs},
  year={1994}
}
We determine the character of the action of the symmetric group on the homology of the induced subposet of the lattice of partitions of the set {1, 2, . . . , n} obtained by restricting block sizes to the set {1, k, k + 1, . . . }. A plethystic formula for the generating function of the Frobenius characteristic of the representation is given. We combine techniques from the theory of nonpure shellability, recently developed by Björner and Wachs, with symmetric function techniques, developed by… CONTINUE READING

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
18 Extracted Citations
13 Extracted References
Similar Papers

Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 13 references

A basis for the homology of the d - divisible partition lattice

  • M. L. Wachs
  • Advances in Math .
  • 1996

On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes

  • G. Lehrer, L. Solomon
  • Foncteurs analytiques et espèces de structures…
  • 1986

On the homology of geometric lattices

  • A. Bjorner
  • Algebra Universalis
  • 1982

The xed-point partition lattices

  • P. Hanlon
  • Paci c J. Math
  • 1981

A decomposition of the group algebra of a nite Coxeter group

  • L. So Solomon
  • J. Algebra
  • 1968

A decomposition of the group algebra of a finite Coxeter group

  • L. Solomon
  • J . Algebra

Similar Papers

Loading similar papers…