Chain enumeration of κ-divisible noncrossing partitions of classical types

Jang Soo Kim

Chain enumeration of κ-divisible noncrossing partitions of classical types

CNRS et Université Paris-Diderot

Research output: Contribution to conference › Paper › peer-review

Abstract

We give combinatorial proofs of the formulas for the number of multichains in the κ-divisible noncrossing partitions of classical types with certain conditions on the rank and the block size due to Krattenthaler and Müller. We also prove Armstrong's conjecture on the zeta polynomial of the poset of κ-divisible noncrossing partitions of type A invariant under the 180° rotation in the cyclic representation.

Original language	English
Pages	809-820
Number of pages	12
State	Published - 2010
Externally published	Yes
Event	22nd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'10 - San Francisco, CA, United States Duration: 2 Aug 2010 → 6 Aug 2010

Conference

Conference	22nd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'10
Country/Territory	United States
City	San Francisco, CA
Period	2/08/10 → 6/08/10

Keywords

Chain enumeration
Noncrossing partitions

Cite this

@conference{c6a1c3e3d55345bab32b5cbb041b09da,

title = "Chain enumeration of κ-divisible noncrossing partitions of classical types",

abstract = "We give combinatorial proofs of the formulas for the number of multichains in the κ-divisible noncrossing partitions of classical types with certain conditions on the rank and the block size due to Krattenthaler and M{\"u}ller. We also prove Armstrong's conjecture on the zeta polynomial of the poset of κ-divisible noncrossing partitions of type A invariant under the 180° rotation in the cyclic representation.",

keywords = "Chain enumeration, Noncrossing partitions",

author = "Kim, \{Jang Soo\}",

year = "2010",

language = "English",

pages = "809--820",

note = "22nd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'10 ; Conference date: 02-08-2010 Through 06-08-2010",

}

TY - CONF

T1 - Chain enumeration of κ-divisible noncrossing partitions of classical types

AU - Kim, Jang Soo

PY - 2010

Y1 - 2010

N2 - We give combinatorial proofs of the formulas for the number of multichains in the κ-divisible noncrossing partitions of classical types with certain conditions on the rank and the block size due to Krattenthaler and Müller. We also prove Armstrong's conjecture on the zeta polynomial of the poset of κ-divisible noncrossing partitions of type A invariant under the 180° rotation in the cyclic representation.

AB - We give combinatorial proofs of the formulas for the number of multichains in the κ-divisible noncrossing partitions of classical types with certain conditions on the rank and the block size due to Krattenthaler and Müller. We also prove Armstrong's conjecture on the zeta polynomial of the poset of κ-divisible noncrossing partitions of type A invariant under the 180° rotation in the cyclic representation.

KW - Chain enumeration

KW - Noncrossing partitions

UR - https://www.scopus.com/pages/publications/84860533794

M3 - Paper

AN - SCOPUS:84860533794

SP - 809

EP - 820

T2 - 22nd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'10

Y2 - 2 August 2010 through 6 August 2010

ER -

Chain enumeration of κ-divisible noncrossing partitions of classical types

Abstract

Conference

Keywords

Other files and links

Fingerprint

Cite this