Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Levi–Malcev decomposition | Statement: [Lie algebra, hasKeyResult, Levi–Malcev decomposition]

Target entity: Levi–Malcev decomposition
Context triple: [Lie algebra, hasKeyResult, Levi–Malcev decomposition]

• A. Levi decomposition chosen
  The Levi decomposition is a structural theorem in Lie algebra theory stating that any finite-dimensional Lie algebra over a field of characteristic zero can be written as a semidirect sum of a semisimple subalgebra and its solvable radical.
• B. Jordan–Chevalley decomposition
  The Jordan–Chevalley decomposition is a fundamental result in linear algebra and representation theory that expresses a linear operator (or matrix) as the sum or product of commuting semisimple and nilpotent parts.
• C. Lefschetz decomposition
  Lefschetz decomposition is a structural breakdown of the derived category of coherent sheaves on an algebraic variety into a sequence of subcategories reflecting the geometry of a Lefschetz-type fibration or embedding.
• D. Cartan decomposition
  Cartan decomposition is a fundamental structural result in Lie theory that expresses a Lie algebra or Lie group as a direct sum or product of subspaces or subgroups with specific symmetry properties, widely used in differential geometry and representation theory.
• E. Lie algebras
  Lie algebras are algebraic structures used to study continuous symmetries, especially those arising from Lie groups, via a linearized, infinitesimal perspective.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.