Classification of derivation-simple color algebras related to locally finite derivations
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Bibliographic record
Abstract
We classify the pairs (𝒜,𝒟) consisting of an (ε,Γ)-color-commutative associative algebra 𝒜 with an identity element over an algebraically closed field 𝔽 of characteristic zero and a finite dimensional subspace 𝒟 of (ε,Γ)-color-commutative locally finite color-derivations of 𝒜 such that 𝒜 is Γ-graded 𝒟-simple and the eigenspaces for elements of 𝒟 are Γ-graded. Such pairs are the important ingredients in constructing some simple Lie color algebras which are in general not finitely-graded. As some applications, using such pairs, we construct new explicit simple Lie color algebras of generalized Witt type, Weyl type.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.007 |
| 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 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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