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: SU(2) | Statement: [SL(2,C), hasMaximalCompactSubgroup, SU(2)]

Target entity: SU(2)
Context triple: [SL(2,C), hasMaximalCompactSubgroup, SU(2)]

• A. SU(3)
  SU(3) is the special unitary group of degree three, a Lie group fundamental to the mathematical description of the strong interaction and the classification of hadrons in particle physics.
• B. special unitary group SU(n)
  The special unitary group SU(n) is a fundamental compact Lie group consisting of n×n unitary matrices with determinant 1, central in mathematics and physics, especially in quantum theory and gauge symmetries.
• C. rotation group SU(2) chosen
  The rotation group SU(2) is the Lie group of 2×2 unitary matrices with determinant 1 that serves as the double cover of the three-dimensional rotation group SO(3) and underlies the quantum theory of angular momentum and spin.
• D. SU(2)_L
  SU(2)_L is the non-Abelian weak isospin gauge symmetry of the Standard Model that governs left-handed weak interactions.
• E. SL(2,C)
  SL(2,C) is the complex special linear group of 2×2 matrices with determinant 1, which serves as the double cover and spinor representation group of the proper orthochronous Lorentz group in four-dimensional spacetime.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: hasMaximalCompactSubgroup
Context triple: [SL(2,C), hasMaximalCompactSubgroup, SU(2)]

• A. hasMaximalCompactSubgroupOf chosen
  Indicates that one mathematical group is the maximal compact subgroup contained within another group.
• B. hasMaximalTorusDimension
  Indicates that the associated group or algebraic structure has a maximal torus whose dimension equals the specified value or satisfies a given dimensional property.
• C. isMaximalSymmetryGroupOf
  Indicates that a group represents the largest possible symmetry group for a given object or structure, such that no strictly larger symmetry group of that object exists containing it.
• D. isMaximalSubgroupOf
  Indicates that one group is a proper subgroup of another that is not contained in any larger proper subgroup of that group.
• E. isMaximallySymmetric
  Indicates that the subject exhibits the highest possible degree of symmetry allowed by the relevant structure, constraints, or context.
• F. None of above.