✦ LIBER ✦

Enumerative and Combinatorial Properties of Dyck Partitions

✍ Scribed by Francesco Brenti

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 263 KB
Volume: 99
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.2002.3255

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✦ Synopsis

The purpose of this paper is to study the combinatorial and enumerative properties of a new class of (skew) integer partitions. This class is closely related to Dyck paths and plays a fundamental role in the computation of certain Kazhdan-Lusztig polynomials of the symmetric group related to Young's lattice. As a consequence of our results, we obtain some new identities for these polynomials.

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