Skip to main content
Article thumbnail
Location of Repository

The geometry of lecture hall partitions and quadratic permutation statistics

By Katie L. Bright and Carla D. Savage

Abstract

Abstract. We take a geometric view of lecture hall partitions and anti-lecture hall compositions in order to settle some open questions about their enumeration. In the process, we discover an intrinsic connection between these families of partitions and certain quadratic permutation statistics. We define some unusual quadratic permutation statistics and derive results about their joint distributions with linear statistics. We show that certain specializations are equivalent to the lecture hall and anti-lecture hall theorems and another leads back to a special case of a Weyl group generating function that “ought to be better known.” Résumé. French translation

Topics: λ2
Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.310.9555
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www4.ncsu.edu/~savage/P... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.