Algebraic and geometric properties of flag Bott–Samelson varieties and applications to representations
Algebraic and geometric properties of flag Bott–Samelson varieties and applications to representations
We define and study flag Bott-Samelson varieties which generalize both Bott-Samelson varieties and flag varieties.Using a birational morphism from an appropriate Bott-Samelson variety to a flag Bott-Samelson variety, we compute the Newton-Okounkov bodies of flag Bott-Samelson varieties as generalized string polytopes, which are applied to give polyhedral expressions for irreducible …