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: Kac–Moody algebra | Statement: [Verma module, definedOver, Kac–Moody algebra]

Target entity: Kac–Moody algebra
Context triple: [Verma module, definedOver, Kac–Moody algebra]

• A. Kac–Moody algebras chosen
  Kac–Moody algebras are a broad class of (generally infinite-dimensional) Lie algebras defined by generalized Cartan matrices, encompassing finite-dimensional semisimple Lie algebras and their infinite-dimensional extensions used in representation theory and mathematical physics.
• B. affine Lie algebras
  Affine Lie algebras are infinite-dimensional extensions of finite-dimensional simple Lie algebras that play a central role in representation theory, conformal field theory, and the study of exactly solvable models in mathematical physics.
• C. Lie algebras
  Lie algebras are algebraic structures used to study continuous symmetries, especially those arising from Lie groups, via a linearized, infinitesimal perspective.
• D. Witt algebra
  The Witt algebra is an infinite-dimensional Lie algebra of derivations of the Laurent polynomial ring, playing a central role in conformal field theory and as the centerless version of the Virasoro algebra.
• E. Virasoro algebra
  The Virasoro algebra is an infinite-dimensional Lie algebra that plays a central role in two-dimensional conformal field theory and string theory as the symmetry algebra of local conformal transformations.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.