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math.CO2020
Numerical semigroups, polyhedra, and posets III: minimal presentations and face dimension
Tara Gomes, Christopher O'Neill, Eduardo Torres Davila
This paper is the third in a series of manuscripts that examine the combinatorics of the Kunz polyhedron , whose positive integer points are in bijection with numerical semigr…
math.CO2019
Numerical semigroups, polyhedra, and posets II: locating certain families of semigroups
Jackson Autry, Abigail Ezell, Tara Gomes +4
Several recent papers have examined a rational polyhedron whose integer points are in bijection with the numerical semigroups (cofinite, additively closed subsets of the non-…
math.CO2019
Visualizing the Support of Kostant's Weight Multiplicity Formula for the Rank Two Lie Algebras
Pamela E. Harris, Marissa Loving, Juan Ramirez +4
The multiplicity of a weight in a finite-dimensional irreducible representation of a simple Lie algebra g can be computed via Kostant's weight multiplicity formula. This formula co…