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: Bruhat order | Statement: [Kazhdan–Lusztig theory, uses, Bruhat order]

Target entity: Bruhat order
Context triple: [Kazhdan–Lusztig theory, uses, Bruhat order]

• A. Bruhat order chosen
  The Bruhat order is a partial order on elements of a Coxeter or Weyl group that plays a central role in algebraic geometry, representation theory, and the study of flag varieties.
• B. Bruhat decomposition
  Bruhat decomposition is a fundamental result in algebraic group theory that expresses a group as a union of double cosets indexed by elements of its Weyl group, revealing a deep combinatorial structure.
• C. 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.
• D. 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.
• E. Gelfand–Tsetlin graph
  The Gelfand–Tsetlin graph is a combinatorial structure whose vertices encode interlacing patterns corresponding to representations of unitary groups, organizing the branching of these representations in a graded, graph-theoretic form.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.