AUTOMORPHISMS AND DERIVATIONS OF NILRADICALS OF BOREL SUBALGEBRAS IN KAC–MOODY ALGEBRAS
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Bibliographic record
Abstract
In this paper, we determine derivations of the nilradicals of Borel subalgebras in Kac–Moody algebras (and contragredient Lie algebras) over any field of characteristic 0. The result solves a conjecture posed by Moody 30 years ago which generalizes a result by Kostant for finite-type simple Lie algebras. We also determine automorphisms of those subalgebras in symmetrizable Kac–Moody algebras.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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