scholarly journals Multiplicity-free skew Schur polynomials

2022 ◽  
Vol 4 (6) ◽  
pp. 1073-1117
Author(s):  
Shiliang Gao ◽  
Reuven Hodges ◽  
Gidon Orelowitz
Keyword(s):  
Schur Polynomials ◽  
Multiplicity Free

PHASE CONDITIONS FOR SCHUR POLYNOMIALS

2002 ◽  
Vol 35 (1) ◽  
pp. 187-191 ◽  
Author(s):  
L.H. Keel ◽  
S.P. Bhattacharyya
Keyword(s):  
Schur Polynomials

scholarly journals Pieri’s formula for generalized Schur polynomials

2007 ◽  
Vol 26 (1) ◽  
pp. 27-45
Author(s):  
Yasuhide Numata
Keyword(s):  
Schur Polynomials

Multiplicity-free actions and the geometry of nilpotent orbits

2000 ◽  
Vol 318 (4) ◽  
pp. 777-793 ◽  
Author(s):  
Kyo Nishiyama
Keyword(s):  
Nilpotent Orbits ◽  
Multiplicity Free ◽  
Free Actions

scholarly journals Multiplicity-Free Schubert Calculus

2010 ◽  
Vol 53 (1) ◽  
pp. 171-186 ◽  
Author(s):  
Hugh Thomas ◽  
Alexander Yong
Keyword(s):  
Algebraic Geometry ◽  
Schubert Calculus ◽  
Chow Ring ◽  
Free Products ◽  
Linear Basis ◽  
Combinatorial Classification ◽  
Schubert Classes ◽  
Multiplicity Free

AbstractMultiplicity-free algebraic geometry is the study of subvarieties Y ⊆ X with the “smallest invariants” as witnessed by a multiplicity-free Chow ring decomposition of [Y] ∈ A*(X) into a predetermined linear basis.This paper concerns the case of Richardson subvarieties of the Grassmannian in terms of the Schubert basis. We give a nonrecursive combinatorial classification of multiplicity-free Richardson varieties, i.e., we classify multiplicity-free products of Schubert classes. This answers a question of W. Fulton.

scholarly journals Multiplicity Free Schur, Skew Schur, and Quasisymmetric Schur Functions

2013 ◽  
Vol 17 (2) ◽  
pp. 275-294
Author(s):  
C. Bessenrodt ◽  
S. van Willigenburg
Keyword(s):  
Schur Functions ◽  
Quasisymmetric Schur Functions ◽  
Multiplicity Free

Schur Polynomials and $$\mathrm{GL}(n, \mathbb{C})$$

2013 ◽  
pp. 379-385
Author(s):  
Daniel Bump
Keyword(s):  
Schur Polynomials

scholarly journals Symmetric Functions for the Generating Matrix of the Yangian of $\mathfrak{gl}_n({\Bbb C})$

10.37236/217 ◽  
2009 ◽  
Vol 16 (1) ◽  
Author(s):  
Natasha Rozhkovskaya
Keyword(s):  
Symmetric Functions ◽  
Combinatorial Identities ◽  
Schur Polynomials ◽  
Generating Matrix

Analogues of classical combinatorial identities for elementary and homogeneous symmetric functions with coefficients in the Yangian are proved. As a corollary, similar relations are deduced for shifted Schur polynomials.

scholarly journals Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials

2018 ◽  
Author(s):  
Mattia Cafasso ◽  
◽  
Ann du Crest de Villeneuve ◽  
Di Yang ◽  
◽  
...  
Keyword(s):  
Schur Polynomials ◽  
Tau Functions
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