A combinatorial rule for (co)minuscule Schubert calculus

Hugh Thomas, Alexander Yong

Type: Article

Publication Date: 2009-06-05

Citations: 59

DOI: https://doi.org/10.1016/j.aim.2009.05.008

View Publication

Locations

Advances in Mathematics - View
arXiv (Cornell University) - View - PDF
Archipelago (Université du Québec à Montréal) - View - PDF

Similar Works

Action	Title	Year	Authors
+	A combinatorial rule for (co)minuscule Schubert calculus	2006	Hugh Thomas Alexander Yong
+	Root-theoretic Young diagrams and Schubert calculus: Planarity and the adjoint varieties	2015	Dominic Searles Alexander Yong
+	Introductory Schubert calculus	2010	Veerle Ledoux Simon J. A. Malham
+	Gr\"obner geometry of Schubert polynomials	2001	Allen Knutson Ezra Miller
+	Gröbner geometry of Schubert polynomials	2001	Allen Knutson Ezra Miller
+	Multiplicity-free Schubert calculus	2005	Hugh Thomas Alexander Yong
+	Root-theoretic Young diagrams and Schubert calculus: planarity and the adjoint varieties	2013	Dominic Searles Alexander Yong
+	A Littlewood-Richardson rule for Grassmannian Permutations	2007	Kevin Purbhoo Frank Sottile
+	A Littlewood-Richardson rule for Grassmannian permutations	2009	Kevin Purbhoo Frank Sottile
+	The recursive nature of cominuscule Schubert calculus	2007	Kevin Purbhoo Frank Sottile
+ PDF Chat	Root-theoretic Young Diagrams, Schubert Calculus and Adjoint Varieties	2013	Dominic Searles Alexander Yong
+	Seidel and Pieri products in cominuscule quantum K-theory	2023	Anders Skovsted Buch Pierre-Emmanuel Chaput Nicolás Perrin
+	The recursive nature of cominuscule Schubert calculus	2006	Kevin Purbhoo Frank Sottile
+	The recursive nature of cominuscule Schubert calculus	2006	Kevin Purbhoo Frank Sottile
+	James reduced product schemes and double quasisymmetric functions	2023	Oliver Pechenik Matthew Satriano
+ PDF Chat	Variations on a Theme of Schubert Calculus	2019	Maria Gillespie
+	Quasisymmetric Schubert calculus	2022	Oliver Pechenik Matthew Satriano
+	Variations on a Theme of Schubert Calculus	2018	Maria Gillespie
+	Cominuscule tableau combinatorics	2007	Hugh Thomas Alexander T. F. Yong
+	Two Murnaghan-Nakayama rules in Schubert calculus	2015	Andrew Morrison Frank Sottile

Works That Cite This (56)

Action	Title	Year	Authors
+ PDF Chat	The Coxeter Transformation on Cominuscule Posets	2018	Emine Yıldırım
+	The Nash blow-up of a cominuscule Schubert variety	2020	Edward Richmond William Slofstra Alexander Woo
+ PDF Chat	<i>K</i>-theory of minuscule varieties	2014	Anders Skovsted Buch Matthew J. Samuel
+ PDF Chat	Genomic tableaux	2016	Oliver Pechenik Alexander Yong
+	Commutation relations for quantum root vectors of cominuscole parabolics	2015	Marco Matassa
+ PDF Chat	On the quantum cohomology of adjoint varieties	2011	Pierre–Emmanuel Chaput Nicolas Perrin
+	Towards a Littlewood-Richardson rule for Kac-Moody homogeneous spaces	2009	Pierre–Emmanuel Chaput Nicolas Perrin
+ PDF Chat	On the minimal power of q in a Kazhdan–Lusztig polynomial	2024	Christian Gaetz Yibo Gao
+ PDF Chat	<i>K</i>-theoretic Schubert calculus for OG(<i>n</i>,2<i>n</i>+1) and jeu de taquin for shifted increasing tableaux	2012	Edward Clifford Hugh Thomas Alexander Yong
+	Proofs and generalizations of a homomesy conjecture of Propp and Roby	2015	Jonathan Bloom Oliver Pechenik Dan Saracino

Works Cited by This (36)

Action	Title	Year	Authors
+	Algebro — Geometric applications of schur s- and q-polynomials	1991	Piotr Pragacz
+ PDF Chat	Lectures on the Geometry of Flag Varieties	2005	Michel Brion
+	A theory of shifted Young tableaux	1984	Dale Raymond Worley
+	Linear Algebraic Groups	1975	James E. Humphreys
+	Singular Loci of Schubert Varieties	2000	Sara Billey V. Lakshmibai
+	d-Complete Posets Generalize Young Diagrams for the Jeu de Taquin Property	2009	Robert A. Proctor
+	A Schubert calculus recurrence from the noncomplex W-action on G/B	2003	Allen Knutson
+ PDF Chat	Gromov-Witten invariants on Grassmannians	2003	Anders Skovsted Buch Andrew Kresch Harry Tamvakis
+	None	2001	M. G. Kogan
+	None	2004	Allen Knutson Alexander Yong