Corpus ID: 232417773

Standard monomial theory and toric degenerations of Richardson varieties in flag varieties

@inproceedings{Bonala2021StandardMT,
  title={Standard monomial theory and toric degenerations of Richardson varieties in flag varieties},
  author={Narasimha Chary Bonala and Oliver Clarke and Fatemeh Mohammadi},
  year={2021}
}
We study standard monomial bases for Richardson varieties inside the flag variety. In general, writing down a standard monomial basis for a Richardson variety can be challenging, as it involves computing so-called defining chains or key tableaux. However, for a certain family of Richardson varieties, indexed by compatible permutations, we provide a very direct and straightforward combinatorial rule for writing down a standard monomial basis. We apply this result to the study of toric… Expand

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