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 theory | Statement: [Verma module, roleIn, Kazhdan–Lusztig theory]

Target entity: Kazhdan–Lusztig theory
Context triple: [Verma module, roleIn, Kazhdan–Lusztig theory]

• 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. 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.
• C. Hecke algebra
  A Hecke algebra is a deformation of a group algebra (often of a Coxeter or Weyl group) that plays a central role in representation theory, algebraic combinatorics, and the study of quantum groups and integrable systems.
• D. Soergel bimodules
  Soergel bimodules are certain graded bimodules over polynomial rings that categorify Hecke algebras and provide a powerful geometric and algebraic framework for understanding Kazhdan–Lusztig theory and representation theory of Coxeter groups.
• 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.