2021/06/15 by Joshua Kiers, Kiers, Joshua
Chemistry · #Combinatorics (math.CO) #Crystallography and molecular interactions #FOS: Mathematics #Organometallic Complex Synthesis and Catalysis #Synthesis and characterization of novel inorganic/organometallic compounds
paper · pdf · doi:10.48550/arxiv.2106.08425
openalex publication_date 2021/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give an inductive procedure for finding the extremal rays of the equivariant Littlewood-Richardson cone, which is closely related to the solution space to S. Friedland's majorized Hermitian eigenvalue problem. In so doing, we solve the "rational version" of a problem posed by C. Robichaux, H. Yadav, and A. Yong. Our procedure is a natural extension of P. Belkale's algorithm for the classical Littlewood-Richardson cone. The main tools for accommodating the equivariant setting are certain foundational results of D. Anderson, E. Richmond, and A. Yong. We also study two families of special rays of the cone and make observations about the Hilbert basis of the associated lattice semigroup.