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: Schur–Weyl reciprocity | Statement: [Schur–Weyl duality, usedIn, Schur–Weyl reciprocity]

Target entity: Schur–Weyl reciprocity
Context triple: [Schur–Weyl duality, usedIn, Schur–Weyl reciprocity]

• A. Schur–Weyl duality chosen
  Schur–Weyl duality is a fundamental result in representation theory that links representations of the symmetric group and the general linear group via their commuting actions on tensor powers of a vector space.
• B. Schur functors
  Schur functors are algebraic constructions that associate to each partition a functor from vector spaces to representations, encoding polynomial representations of general linear groups and symmetric group actions.
• C. 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.
• D. 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.
• E. Peter–Weyl theorem
  The Peter–Weyl theorem is a fundamental result in representation theory and harmonic analysis that decomposes square-integrable functions on a compact topological group into a direct sum of finite-dimensional irreducible unitary representations.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.