Corpus ID: 85530669

# Schubert polynomials as projections of Minkowski sums of Gelfand-Tsetlin polytopes

@inproceedings{Liu2019SchubertPA,
title={Schubert polynomials as projections of Minkowski sums of Gelfand-Tsetlin polytopes},
author={Ricky Ini Liu and Karola M{\'e}sz{\'a}ros and Avery St. Dizier},
year={2019}
}
• Published 2019
• Mathematics
• Gelfand-Tsetlin polytopes are classical objects in algebraic combinatorics arising in the representation theory of $\mathfrak{gl}_n(\mathbb{C})$. The integer point transform of the Gelfand-Tsetlin polytope $\mathrm{GT}(\lambda)$ projects to the Schur function $s_{\lambda}$. Schur functions form a distinguished basis of the ring of symmetric functions; they are also special cases of Schubert polynomials $\mathfrak{S}_{w}$ corresponding to Grassmannian permutations. For any permutation \$w \in… CONTINUE READING

Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 23 REFERENCES

## Divided difference operators on polytopes

VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

## Gelfand-Tsetlin Polytopes: A Story of Flow and Order Polytopes

• Mathematics, Computer Science
• SIAM J. Discrete Math.
• 2019

## Back stable Schubert calculus

• Mathematics
• 2018

## Dizier

• A. Fink, K. Mészáros, A. St
• Schubert polynomials as integer point transforms of generalized permutahedra. Adv. Math., 332:465–475
• 2018
VIEW 1 EXCERPT

## The Prism tableau model for Schubert polynomials

• Mathematics, Computer Science
• J. Comb. Theory, Ser. A
• 2018

## Newton Polytopes in Algebraic Combinatorics

• Mathematics
• 2017
VIEW 1 EXCERPT

## Permutohedra

• A. Postnikov
• associahedra, and beyond. Int. Math. Res. Not. IMRN, 2009(6):1026–1106
• 2009
VIEW 1 EXCERPT

## Kostant Partitions Functions and Flow Polytopes

• Mathematics
• 2008

## Quivers

• L. Hille
• cones and polytopes. Linear Algebra Appl., 365:215 – 237
• 2003