5 papers
Infinite free resolutions over numerical semigroup algebras via specialization
Tara Gomes, Christopher O'Neill, Aleksandra Sobieska +1
Each numerical semigroup with smallest positive element corresponds to an integer point in a polyhedral cone , known as the Kunz cone. The faces of form a strati…
The multigraded BGG correspondence in Macaulay2
Maya Banks, Michael K. Brown, Tara Gomes +3
We give an overview of a Macaulay2 package for computing with the multigraded BGG correspondence. This software builds on the package BGG due to Abo-Decker-Eisenbud-Schreyer-Smith-…
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…
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-…
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…