Projections of Richardson Varieties

@inproceedings{Knutson2010ProjectionsOR,
  title={Projections of Richardson Varieties},
  author={Allen Knutson and Thomas Lam and David E Speyer},
  year={2010}
}
  • Allen Knutson, Thomas Lam, David E Speyer
  • Published 2010
  • Mathematics
  • While the projections of Schubert varieties in a full generalized flag manifold G/B to a partial flag manifold $G/P$ are again Schubert varieties, the projections of Richardson varieties (intersections of Schubert varieties with opposite Schubert varieties) are not always Richardson varieties. The stratification of G/P by projections of Richardson varieties arises in the theory of total positivity and also from Poisson and noncommutative geometry. In this paper we show that many of the… CONTINUE READING

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