Extending the parking space

@article{Berget2013ExtendingTP,
  title={Extending the parking space},
  author={Andrew Berget and Brendon Rhoades},
  journal={J. Comb. Theory, Ser. A},
  year={2013},
  volume={123},
  pages={43-56}
}
  • Andrew Berget, Brendon Rhoades
  • Published in J. Comb. Theory, Ser. A 2013
  • Mathematics, Computer Science
  • The action of the symmetric group S"n on the set Park"n of parking functions of size n has received a great deal of attention in algebraic combinatorics. We prove that the action of S"n on Park"n extends to an action of S"n"+"1. More precisely, we construct a graded S"n"+"1-module V"n such that the restriction of V"n to S"n is isomorphic to Park"n. We describe the S"n-Frobenius characters of the module V"n in all degrees and describe the S"n"+"1-Frobenius characters of V"n in extreme degrees… CONTINUE READING

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    SHOWING 1-8 OF 8 REFERENCES

    Matroid applications, volume 40 of Encyclopedia of Mathematics and its Applications

    • Neil White, editor
    • 1992

    Some Aspects of Groups Acting on Finite Posets

    Konheim and Benjamin Weiss . An occupancy discipline and applications

    • G. Alan
    • SIAM J . Applied Math .
    • 1966