Horn(p,q)

TL;DR

This paper provides a recursive description of the Horn cone Horn(p,q), extending classical Horn's conjecture to new cases with a focus on the parameters p and q.

Contribution

It introduces a recursive framework for understanding the structure of Horn(p,q), offering new insights into the Horn cone for various p and q values.

Findings

Recursive description of Horn(p,q) established

Extension of Horn's conjecture to new parameter ranges

Potential applications in eigenvalue and representation theory

Abstract

In this article, we obtain a recursive description of the Horn cone Horn(p,q) with respect to the integers p and q, as in the classical Horn's conjecture.