Enriched P-partitions and peak algebras

T. Kyle Petersen

Type: Article

Publication Date: 2006-07-21

Citations: 101

DOI: https://doi.org/10.1016/j.aim.2006.05.016

View Publication

Locations

Advances in Mathematics - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Enriched $P$-partitions and peak algebras	2005	T. Kyle Petersen
+	Enriched $P$-partitions and peak algebras (extended abstract)	2005	T. Kyle Petersen
+	Peak algebras in combinatorial Hopf algebras	2021	Farid Aliniaeifard Shu Xiao Li
+	The algebra of extended peaks	2023	Darij Grinberg Ekaterina A. Vassilieva
+ PDF Chat	Enriched toric <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>[</mml:mo><mml:mover accent="true"><mml:mi>D</mml:mi> <mml:mo>→</mml:mo></mml:mover><mml:mo>]</mml:mo></mml:mrow></mml:math>-partitions	2024	Jinting Liang
+	Enriched toric $[\vec{D}]$-partitions	2022	Jinting Liang
+	Weighted posets and the enriched monomial basis of QSym (extended abstract)	2022	Darij Grinberg Ekaterina A. Vassilieva
+ PDF Chat	Weighted posets and the enriched monomial basis of QSym (extended abstract)	2022	Darij Grinberg Ekaterina A. Vassilieva
+ PDF Chat	Enriched set-valued P-partitions and shifted stable Grothendieck polynomials	2021	Joel Brewster Lewis Eric Marberg
+	Colored posets and colored quasisymmetric functions	2006	Samuel K. Hsiao T. Kyle Petersen
+	Shifted combinatorial Hopf algebras from <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>K</mml:mi></mml:math>-theory	2024	Eric Marberg
+ PDF Chat	A Note on Three Types of Quasisymmetric Functions	2005	T. Kyle Petersen
+	A note on three types of quasisymmetric functions	2005	T. Kyle Petersen
+ PDF Chat	Quasisymmetric expansion of Hall-Littlewood symmetric functions	2024	Darij Grinberg Ekaterina A. Vassilieva
+ PDF Chat	Colored Posets and Colored Quasisymmetric Functions	2010	Samuel K. Hsiao T. Kyle Petersen
+	A $q$-deformation of enriched $P$-partitions (extended abstract)	2022	Darij Grinberg Ekaterina A. Vassilieva
+	Shifted combinatorial Hopf algebras from $K$-theory	2022	Eric Marberg
+	P-partition power sums	2021	Farid Aliniaeifard Victor Wang Stephanie van Willigenburg
+	Shifted quasi-symmetric functions and the Hopf algebra of peak functions	2002	Nantel Bergeron Stefan Mykytiuk Frank Sottile Stephanie van Willigenburg
+ PDF Chat	The peak algebra of the symmetric group revisited	2004	Manfred Schocker

Works That Cite This (101)

Action	Title	Year	Authors
+	Shuffle-compatible permutation statistics	2018	Ira M. Gessel Yan Zhuang
+ PDF Chat	Enriched order polytopes and enriched Hibi rings	2020	Hidefumi Ohsugi Akiyoshi Tsuchiya
+	Floodings of metric graphs	2020	Krzysztof Burdzy Soumik Pal
+	Eulerian polynomials and excedance statistics	2019	Bin Han Jianxi Mao Jiang Zeng
+	The Hopf algebras of type B quasisymmetric functions and peak functions	2006	Samuel K. Hsiao T. Kyle Petersen
+ PDF Chat	The $$h^*$$-Polynomials of Locally Anti-Blocking Lattice Polytopes and Their $$\gamma $$-Positivity	2020	Hidefumi Ohsugi Akiyoshi Tsuchiya
+	Symmetric unimodal expansions of excedances in colored permutations	2014	Heesung Shin Jiang Zeng
+ PDF Chat	Chain enumeration, partition lattices and polynomials with only real roots	2023	Christos A. Athanasiadis Katerina Kalampogia-Evangelinou
+	Excedance-type polynomials and gamma-positivity	2021	Shi-Mei Ma Jun Ma Jean Yeh Yeong‐Nan Yeh
+	Shuffle-compatible permutation statistics II: the exterior peak set	2018	Darij Grinberg

Works Cited by This (31)

Action	Title	Year	Authors
+	A General Commutative Descent Algebra	1995	Paola Cellini
+	The peak algebra and the descent algebras of types B and D	2004	Marcelo Aguiar Nantel Bergeron Kathryn Nyman
+ PDF Chat	None	2003	Kathryn Nyman
+	Noncommutative symmetric functions of type B	2001	Chak-On Chow
+	Shuffles on Coxeter groups	2001	Swapneel Mahajan
+	Cyclic Eulerian Elements	1998	Paola Cellini
+	A General Commutative Descent Algebra	1995	Paola Cellini
+	A decomposition of Solomon's descent algebra	1989	Adriano M. Garsia Christophe Reutenauer
+	Orthogonal idempotents in the descent algebra of Bn and applications	1992	François Bergeron Nantel Bergeron
+ PDF Chat	The action of $S_n$ on the components of the Hodge decomposition of Hochschild homology.	1990	Phil Hanlon