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Upper Binomial Posets and Signed Permutation Statistics

✍ Scribed by Victor Reiner


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
186 KB
Volume
14
Category
Article
ISSN
0195-6698

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📜 SIMILAR VOLUMES


Signed Permutation Statistics and Cycle
✍ Victor Reiner 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 294 KB

We derive a multivariate generating function which counts signed permutations by their cycle type and two other descent statistics, analogous to a result of Gessel and Reutenauer [4,5] for (unsigned) permutations. The derivation uses a bijection which is the hyperoctahedral analogue of Gessel's neck