Kostant Partitions Functions and Flow Polytopes

Welleda Baldoni, Michèle Vergne

Type: Article

Publication Date: 2008-08-28

Citations: 55

DOI: https://doi.org/10.1007/s00031-008-9019-8

View Publication

Locations

Transformation Groups - View
HAL (Le Centre pour la Communication Scientifique Directe) - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Flow polytopes and the Kostant partition function	2012	Karola Mészáros Alejandro H. Morales
+	Counting integer points of flow polytopes	2019	Kabir Kapoor Karola Mészáros Linus Setiabrata
+	Counting integer points of flow polytopes	2019	Kabir Kapoor Karola Mészáros Linus Setiabrata
+	On the combinatorics of Kostant's partition function	1985	Robert W. Deckhart
+	Lower bounds for a class of Kostka numbers	1986	Jan Willem Klop Evangelos Kranakis
+	Kostka Polynomials and Crystals	1996	Yasuhiko Yamada
+	Kostka Polynomials and Crystals	1996	泰彦山田
+ PDF Chat	Volumes and Ehrhart polynomials of flow polytopes	2019	Karola Mészáros Alejandro H. Morales
+	On the Kostant multiplicity formula	1988	Victor Guillemin Eugene Lerman S. Sternberg
+	Volumes and Ehrhart polynomials of flow polytopes	2017	Karola Mészáros Alejandro H. Morales
+	Volumes and Ehrhart polynomials of flow polytopes	2017	Karola Mészáros Alejandro H. Morales
+	Path zeta functions	2010	Audrey Terras
+	Polynomial Behaviour of Kostka Numbers	2015	Dinushi Munasinghe
+	Modular maximal vectors and the Kostant cone	1989	Robert W. Deckhart
+	On the Left and Right Brylinski-Kostant Filtrations	2009	I. Heckenberger Anthony Joseph
+	Geometry and combinatorics of Kostka-Shoji polynomials	2016	V Finkelberg Mikhail
+	On the Kostka-Green-Foulkes polynomials and Clebsch-Gordan numbers	1988	A. N. Kirillov
+	On the Kostant Multiplicity Formula for Group Actions with Non-isolated Fixed Points	1996	Ana Cannas da Silva Victor Guillemin
+	Colourings, flows and polynomials	1993	Dominic Welsh
+ PDF Chat	Capacity bounds on integral flows and the Kostant partition function	2024	Jonathan Leake Alejandro H. Morales

Works That Cite This (55)

Action	Title	Year	Authors
+	Logarithmic concavity of Schur and related polynomials	2021	June Huh Jacob P. Matherne Karola Mészáros Avery St. Dizier
+	A combinatorial model for computing volumes of flow polytopes	2018	Carolina Benedetti Rafael González S. D'León Christopher R. H. Hanusa Pamela E. Harris Apoorva Khare Alejandro H. Morales Martha Yip
+	The equivariant Ehrhart theory of the permutahedron	2020	Federico Ardila Mariel Supina Andrés R. Vindas-Meléndez
+ PDF Chat	Kostant’s Partition Function and Magic Multiplex Juggling Sequences	2020	Carolina Benedetti Christopher R. H. Hanusa Pamela E. Harris Alejandro H. Morales A. Simpson
+ PDF Chat	Flow polytopes with Catalan volumes	2017	Sylvie Corteel Jang Soo Kim Karola Mészáros
+ PDF Chat	$h$-Polynomials of Reduction Trees	2016	Karola Mészáros
+	Volumes of flow polytopes related to caracol graphs	2019	Jihyeug Jang Jang Soo Kim
+	Column-Convex Matrices, G-Cyclic Orders, and Flow Polytopes	2023	Rafael S. González D’León Christopher R. H. Hanusa Alejandro H. Morales Martha Yip
+ PDF Chat	Gelfand--Tsetlin Polytopes: A Story of Flow and Order Polytopes	2019	Ricky Ini Liu Karola Mészáros Avery St. Dizier
+ PDF Chat	A survey of alternating permutations	2010	Richard P. Stanley

Works Cited by This (19)

Action	Title	Year	Authors
+	Jump formulas in Hamiltonian Geometry	2004	Paul-Émile Paradan
+ PDF Chat	Residue formulae, vector partition functions and lattice points in rational polytopes	1997	Michel Brion Michèle Vergne
+	Proof of a Conjecture of Chan, Robbins, and Yuen	1998	Doron Zeilberger
+	Vector partition function and representation theory	2005	Charles Cochet
+	Localization for nonabelian group actions	1995	Lisa C. Jeffrey Frances Kirwan
+	Residue formulae for vector partitions and Euler–MacLaurin sums	2003	András Szenes Michèle Vergne
+ PDF Chat	On the Volume of a Certain Polytope	2000	Clara S. Chan David P. Robbins David S. Yuen
+ PDF Chat	A Polytope Related to Empirical Distributions, Plane Trees, Parking Functions, and the Associahedron	2002	Richard P. Stanley Jim Pitman
+	On the Poincaré Series Associated with Coxeter Group Actions on Complements of Hyperplanes	1987	G Lehrer
+ PDF Chat	Arrangement of hyperplanes. I: Rational functions and Jeffrey-Kirwan residue	1999	Michel Brion Michèle Vergne