Prefer a chat interface with context about you and your work?
Gelfand--Tsetlin Polytopes: A Story of Flow and Order Polytopes
Gelfand--Tsetlin polytopes are prominent objects in algebraic combinatorics. The number of integer points of the Gelfand--Tsetlin polytope ${GT}(\lambda)$ is equal to the dimension of the corresponding irreducible representation of $GL(n)$. It is well known that the Gelfand--Tsetlin polytope is both a marked order polytope and a flow polytope. In this …