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}
}
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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