TY - CHAP
T1 - CD-index for CW-posets
AU - Murai, Satoshi
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2015.
PY - 2015
Y1 - 2015
N2 - 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).).
AB - 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).).
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U2 - 10.1007/978-3-319-20155-9_19
DO - 10.1007/978-3-319-20155-9_19
M3 - Chapter
AN - SCOPUS:85028582120
T3 - Springer INdAM Series
SP - 103
EP - 106
BT - Springer INdAM Series
PB - Springer International Publishing
ER -