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

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

• 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. 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. Macdonald polynomials
  Macdonald polynomials are a family of orthogonal symmetric functions depending on two parameters that generalize several classical symmetric polynomials, such as Schur and Jack polynomials, and play a central role in algebraic combinatorics and representation theory.
• 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. 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.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Kazhdan–Lusztig polynomials
Target entity description: Kazhdan–Lusztig polynomials are a family of polynomials associated with pairs of elements in a Coxeter group that play a central role in representation theory and the geometry of Schubert varieties.

• 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. Macdonald polynomials
  Macdonald polynomials are a family of orthogonal symmetric functions depending on two parameters that generalize several classical symmetric polynomials, such as Schur and Jack polynomials, and play a central role in algebraic combinatorics and representation theory.
• 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. 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.
• F. None of above.