An Invitation to the Generalized Saturation Conjecture

Abstract

We report about some results, interesting examples, problems and conjectures revolving around the parabolic Kostant partition functions, the parabolic Kostka polynomials and ``saturation'' properties of several generalizations of the Littlewood--Richardson numbers.

79 pages, new sections, new results and examples

References in corpus (4)

• Inhomogeneous lattice paths, generalized Kostka polynomials and A${}_{n-1}$ supernomials
• Character Formulae of ${\widehat{sl}}_n$-Modules and Inhomogeneous Paths
• Residues formulae for volumes and Ehrhart polynomials of convex polytopes
• Geometric Proofs of Horn and Saturation Conjectures

Cited by in corpus (6)

• The Spectra of Density Operators and the Kronecker Coefficients of the Symmetric Group
• On Nonzero Kronecker Coefficients and their Consequences for Spectra
• Geometric Complexity Theory VI: the flip via saturated and positive integer programming in representation theory and algebraic geometry
• On P vs. NP, Geometric Complexity Theory, and the Riemann Hypothesis
• On P vs. NP, Geometric Complexity Theory, and the Flip I: a high level view
• Geometric Complexity Theory: Introduction