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: Weyl group reflections | Statement: [Cartan–Killing form, isUsedToDefine, Weyl group reflections]

Target entity: Weyl group reflections
Context triple: [Cartan–Killing form, isUsedToDefine, Weyl group reflections]

• A. Weyl group chosen
  A Weyl group is a finite reflection group associated with a root system that encodes the symmetries of Lie algebras and Lie groups in representation theory and geometry.
• B. affine Weyl group
  An affine Weyl group is an infinite Coxeter group generated by reflections associated with an affine root system, playing a central role in the structure and representation theory of affine Lie algebras.
• C. Coxeter group
  A Coxeter group is an abstract group generated by reflections across hyperplanes, fundamental in the classification and study of regular polytopes, tessellations, and symmetries in geometry and algebra.
• D. Weyl vector
  The Weyl vector is a distinguished element in the weight space of a semisimple Lie algebra, defined as half the sum of all positive roots and playing a central role in representation theory and the Weyl character formula.
• E. Bruhat decomposition
  Bruhat decomposition is a fundamental result in algebraic group theory that expresses a group as a union of double cosets indexed by elements of its Weyl group, revealing a deep combinatorial structure.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.