Reeder's Conjecture for Even Orthogonal Lie algebras
Sabino Di Trani

TL;DR
This paper completes the proof of Reeder's Conjecture for simple Lie algebras of type D and exceptional cases, advancing understanding in the representation theory of orthogonal Lie algebras.
Contribution
It provides a comprehensive case-by-case proof of Reeder's Conjecture for even orthogonal Lie algebras, including previously unresolved cases.
Findings
Reeder's Conjecture proven for type D Lie algebras
Reeder's Conjecture proven for exceptional Lie algebras
Advances in the representation theory of orthogonal Lie algebras
Abstract
In the paper we complete a case by case proof of Reeder's Conjecture started in our previous work, proving the conjecture for simple Lie algebras of type and for the exceptional cases.
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