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This is a Quantitative Study study.

October 20, 2025Open Access

Irreducible representations of simple Lie algebras with maximum weight multiplicity 2

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Irreducible representations of simple Lie algebras were identified, expanding knowledge of algebraic structures.
The study focuses on cases where the maximum weight multiplicity is 2, revealing important implications in representation theory.
Findings highlight the connection between weight multiplicity and algebraic properties of the representations.
This analysis contributes to the broader field of mathematics, enhancing understanding of simple Lie algebras.

Analysis uncovers irreducible representations of simple Lie algebras, indicating their unique structure and characteristics.

We determine the irreducible representations of simple Lie algebras with maximum weight multiplicity 2.

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Alexandre Zalesski (2025) studied this question.

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Analysis uncovers irreducible representations of simple Lie algebras, indicating their unique structure and characteristics.

We determine the irreducible representations of simple Lie algebras with maximum weight multiplicity 2.