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math.CO2023
On Faces and Hilbert Bases of Kostka Cones
Amanda Burcroff
Kostka coefficients appear in the representation theory of the general linear group and enumerate semistandard Young tableaux of fixed shape and content. The -Kostka cone is the…
math.CO2023
Realizable Standard Young Tableaux
Igor Araujo, Alexander E. Black, Amanda Burcroff +3
Given two vectors and , their outer sum is given by the matrix with entries . If the entries of and are increasing and sufficiently gener…