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math.CO2020
Saturation of Newton polytopes of type A and D cluster variables
Amal Mattoo, Melissa Sherman-Bennett
We study Newton polytopes for cluster variables in cluster algebras of types A and D. A famous property of cluster algebras is the Laurent phenomenon: each cluster…
math.CO2020★ 1 cited
1324- and 2143-avoiding Kazhdan-Lusztig immanants and k-positivity
Sunita Chepuri, Melissa Sherman-Bennett
Immanants are functions on square matrices generalizing the determinant and permanent. Kazhdan-Lusztig immanants, which are indexed by permutations, involve specializations o…