scholarly journals From generalized permutahedra to Grothendieck polynomials via flow polytopes

2020 ◽  
Vol 3 (5) ◽  
pp. 1197-1229
Author(s):  
Karola Mészáros ◽  
Avery St. Dizier
Keyword(s):  
Flow Polytopes ◽  
Grothendieck Polynomials

scholarly journals Set-valued Rothe tableaux and Grothendieck polynomials

2021 ◽  
Vol 128 ◽  
pp. 102203
Author(s):  
Neil J.Y. Fan ◽  
Peter L. Guo
Keyword(s):  
Grothendieck Polynomials

scholarly journals Identities on factorial Grothendieck polynomials

2019 ◽  
Vol 111 ◽  
pp. 101933 ◽  
Author(s):  
Peter L. Guo ◽  
Sophie C.C. Sun
Keyword(s):  
Grothendieck Polynomials

scholarly journals CRYSTAL STRUCTURES FOR SYMMETRIC GROTHENDIECK POLYNOMIALS

2020 ◽  
Author(s):  
CARA MONICAL ◽  
OLIVER PECHENIK ◽  
TRAVIS SCRIMSHAW
Keyword(s):  
Crystal Structures ◽  
Grothendieck Polynomials

scholarly journals On some properties of symplectic Grothendieck polynomials

2021 ◽  
Vol 225 (1) ◽  
pp. 106463 ◽  
Author(s):  
Eric Marberg ◽  
Brendan Pawlowski
Keyword(s):  
Grothendieck Polynomials

scholarly journals INTERVAL STRUCTURE OF THE PIERI FORMULA FOR GROTHENDIECK POLYNOMIALS

2013 ◽  
Vol 23 (01) ◽  
pp. 123-146 ◽  
Author(s):  
VIVIANE PONS
Keyword(s):  
Direct Proof ◽  
Hecke Algebra ◽  
Bruhat Order ◽  
Combinatorial Interpretation ◽  
Pieri Formula ◽  
Set Of Permutations ◽  
Grothendieck Polynomials

We give a combinatorial interpretation of a Pieri formula for double Grothendieck polynomials in terms of an interval of the Bruhat order. Another description had been given by Lenart and Postnikov in terms of chain enumerations. We use Lascoux's interpretation of a product of Grothendieck polynomials as a product of two kinds of generators of the 0-Hecke algebra, or sorting operators. In this way, we obtain a direct proof of the result of Lenart and Postnikov and then prove that the set of permutations occurring in the result is actually an interval of the Bruhat order.

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