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

Fingerprint

Poset
F-vector
Count
Module
Polynomial
Invariant
Necessary

ASJC Scopus subject areas

  • Mathematics(all)

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

CD-index for CW-posets. / Murai, Satoshi.

Springer INdAM Series. Springer International Publishing, 2015. p. 103-106 (Springer INdAM Series; Vol. 12).

Research output: Chapter in Book/Report/Conference proceedingChapter

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