# 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} }

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

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 23 REFERENCES

## Divided difference operators on polytopes

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## Dizier

VIEW 1 EXCERPT

## Newton Polytopes in Algebraic Combinatorics

VIEW 1 EXCERPT

## Permutohedra

VIEW 1 EXCERPT