CD-index for CW-posets

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The flag f-vector is a basic combinatorial invariant of graded posets that counts the number of chains. For an Eulerian poset, its flag f-vector is efficiently encoded by a certain non-commutative polynomial, called the cd-index. In this note, we give an extensions of the cd-index which can be defined for all CW-posets that are not necessary Eulerian. The details for this work are provided in our paper (Murai and Yanagawa, Squarefree P-modules and the cd-index, Adv. Math. 265, 241–279 (2014).).

Original languageEnglish
Title of host publicationSpringer INdAM Series
PublisherSpringer International Publishing
Pages103-106
Number of pages4
DOIs
Publication statusPublished - 2015 Jan 1
Externally publishedYes

Publication series

NameSpringer INdAM Series
Volume12
ISSN (Print)2281-518X
ISSN (Electronic)2281-5198

ASJC Scopus subject areas

  • Mathematics(all)

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  • Cite this

    Murai, S. (2015). CD-index for CW-posets. In Springer INdAM Series (pp. 103-106). (Springer INdAM Series; Vol. 12). Springer International Publishing. https://doi.org/10.1007/978-3-319-20155-9_19