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Lecture hall partitions and the affine hyperoctahedral group
- Publication Year :
- 2017
-
Abstract
- In 1997 Bousquet-M\'elou and Eriksson introduced lecture hall partitions as the inversion vectors of elements of the parabolic quotient $\widetilde{C}/C$. We provide a new view of their correspondence that allows results in one domain to be translated into the other. We determine the equivalence between combinatorial statistics in each domain and use this correspondence to translate certain generating function formulas on lecture hall partitions to new observations about $\widetilde{C}/C$.<br />Comment: 15 pages
- Subjects :
- Mathematics - Combinatorics
05A15, 05A17, 05A30, 05E15, 20F55
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1708.01136
- Document Type :
- Working Paper