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: Bernstein–Gelfand–Gelfand reciprocity | Statement: [Verma module, roleIn, Bernstein–Gelfand–Gelfand reciprocity]

Target entity: Bernstein–Gelfand–Gelfand reciprocity
Context triple: [Verma module, roleIn, Bernstein–Gelfand–Gelfand reciprocity]

• A. Bernstein–Gelfand–Gelfand resolution chosen
  The Bernstein–Gelfand–Gelfand resolution is a fundamental construction in representation theory that provides an explicit, exact sequence resolving finite-dimensional representations of semisimple Lie algebras using complexes of Verma modules.
• B. 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.
• C. 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.
• D. 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.
• E. Bernstein–Zelevinsky classification
  The Bernstein–Zelevinsky classification is a foundational framework in representation theory that systematically describes irreducible smooth representations of general linear groups over non-archimedean local fields.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.