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: Hecke algebra of GL(n) | Statement: [Hecke operators, associatedWith, Hecke algebra of GL(n)]

Target entity: Hecke algebra of GL(n)
Context triple: [Hecke operators, associatedWith, Hecke algebra of GL(n)]

• A. Hecke algebra chosen
  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.
• B. Methods of Representation Theory
  Methods of Representation Theory is a foundational multi-volume work in mathematics that systematically develops the theory of group and algebra representations, coauthored by Israel Gelfand and collaborators.
• C. 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.
• D. Gelfand–Tsetlin algebra
  The Gelfand–Tsetlin algebra is a commutative subalgebra of the universal enveloping algebra of a Lie algebra that acts diagonally in the Gelfand–Tsetlin basis and plays a central role in the explicit description of representations.
• 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.