The height distribution in root systems
Gennadiy Ilyuta
TL;DR
This paper derives formulas describing how positive roots are distributed within root systems, providing new insights into their structural properties.
Contribution
It introduces new formulas for the distribution of positive roots in root systems, advancing understanding of their combinatorial structure.
Findings
Derived formulas for positive root distribution
Enhanced understanding of root system structure
Potential applications in Lie theory
Abstract
We prove several formulas for the distribution of positive roots.
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Taxonomy
TopicsPlant nutrient uptake and metabolism · Advanced Algebra and Geometry · Stochastic processes and statistical mechanics