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: Kazhdan–Lusztig conjecture | Statement: [Kazhdan–Lusztig theory, hasPart, Kazhdan–Lusztig conjecture]

Target entity: Kazhdan–Lusztig conjecture
Context triple: [Kazhdan–Lusztig theory, hasPart, Kazhdan–Lusztig conjecture]

• A. Kazhdan–Lusztig theory
  Kazhdan–Lusztig theory is a framework in representation theory and algebraic geometry that studies Hecke algebras and their bases via Kazhdan–Lusztig polynomials, with deep connections to the representation theory of Lie algebras and geometry of Schubert varieties.
• 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. Deligne–Lusztig theory
  Deligne–Lusztig theory is a framework in algebraic geometry and representation theory that constructs and studies representations of finite groups of Lie type using varieties defined over finite fields.
• D. 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.
• E. Harish-Chandra isomorphism
  The Harish-Chandra isomorphism is a fundamental result in representation theory that identifies the center of the universal enveloping algebra of a semisimple Lie algebra with the algebra of Weyl group–invariant polynomials on a Cartan subalgebra.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Kazhdan–Lusztig conjecture
Target entity description: The Kazhdan–Lusztig conjecture is a fundamental result in representation theory that predicts the characters of irreducible highest-weight modules over semisimple Lie algebras using Kazhdan–Lusztig polynomials.

• A. Kazhdan–Lusztig theory chosen
  Kazhdan–Lusztig theory is a framework in representation theory and algebraic geometry that studies Hecke algebras and their bases via Kazhdan–Lusztig polynomials, with deep connections to the representation theory of Lie algebras and geometry of Schubert varieties.
• 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. Deligne–Lusztig theory
  Deligne–Lusztig theory is a framework in algebraic geometry and representation theory that constructs and studies representations of finite groups of Lie type using varieties defined over finite fields.
• D. 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.
• E. Harish-Chandra isomorphism
  The Harish-Chandra isomorphism is a fundamental result in representation theory that identifies the center of the universal enveloping algebra of a semisimple Lie algebra with the algebra of Weyl group–invariant polynomials on a Cartan subalgebra.
• F. None of above.