Reeder's conjecture for even orthogonal Lie algebras (Q6164903)
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scientific article; zbMATH DE number 7707061
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reeder's conjecture for even orthogonal Lie algebras |
scientific article; zbMATH DE number 7707061 |
Statements
Reeder's conjecture for even orthogonal Lie algebras (English)
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4 July 2023
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The author provides a proof of the Reeder's Conjecture (on irreducible representations) for the even orthogonal Lie algebras and a computational validity check for the exceptional cases \(E_6, E_7, E_8\) and \(F_4\). This result is part of a list of a case by case proof of this conjecture started in a previous work.
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simple Lie algebras
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exterior algebra
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small representations
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graded multiplicities
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zero weight space representations
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