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: Borel–Weil theorem | Statement: [Weyl dimension formula, relatedTo, Borel–Weil theorem]

Target entity: Borel–Weil theorem
Context triple: [Weyl dimension formula, relatedTo, Borel–Weil theorem]

• A. Borel–Weil theorem chosen
  The Borel–Weil theorem is a fundamental result in representation theory that realizes irreducible representations of compact Lie groups as spaces of holomorphic sections of line bundles over their flag manifolds.
• B. Borel–Weil–Bott theorem
  The Borel–Weil–Bott theorem is a fundamental result in representation theory and algebraic geometry that constructs all irreducible representations of a compact Lie group (or complex semisimple Lie algebra) as cohomology groups of line bundles over its flag variety.
• C. Beilinson–Bernstein localization theorem
  The Beilinson–Bernstein localization theorem is a fundamental result in geometric representation theory that realizes representations of semisimple Lie algebras as sheaves of differential operators on flag varieties, establishing an equivalence between algebraic and geometric categories.
• D. Peter–Weyl theorem
  The Peter–Weyl theorem is a fundamental result in representation theory and harmonic analysis that decomposes square-integrable functions on a compact topological group into a direct sum of finite-dimensional irreducible unitary representations.
• E. Bott–Samelson theorem
  The Bott–Samelson theorem is a fundamental result in algebraic topology and geometry that provides a resolution of singularities for Schubert varieties via Bott–Samelson varieties, illuminating the topology and cohomology of flag manifolds.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.