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math.CO2024
Generalized Diagonals in Positive Semi-Definite Matrices
Robert Angarone, Daniel Soskin
We describe all inequalities among generalized diagonals in positive semi-definite matrices. These turn out to be governed by a simple partial order on the symmetric group. This pr…
math.CO2024
Multiplicative Inequalities In Cluster Algebras Of Finite Type
Michael Gekhtman, Zachary Greenberg, Daniel Soskin
Generalizing the notion of a multiplicative inequality among minors of a totally positive matrix, we describe, over full rank cluster algebras of finite type, the cone of Laurent m…