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: projective special unitary group PSU(2) | Statement: [SO(3), isIsomorphicTo, projective special unitary group PSU(2)]

Target entity: projective special unitary group PSU(2)
Context triple: [SO(3), isIsomorphicTo, projective special unitary group PSU(2)]

• A. PSL(2,7)
  PSL(2,7) is a finite simple group of order 168, notable as the full automorphism group of the Klein quartic and as a key example in the theory of projective linear groups over finite fields.
• 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. SL(2,7)
  SL(2,7) is the special linear group of 2×2 matrices with determinant 1 over the finite field with 7 elements, a non-abelian finite group of order 336 that plays an important role in group theory and geometry.
• D. PSL(2,\mathbb{C})
  PSL(2,ℂ) is the group of Möbius transformations acting as all biholomorphic automorphisms of the Riemann sphere.
• E. PGL(2,7)
  PGL(2,7) is the projective general linear group of 2×2 invertible matrices over the finite field with 7 elements, a finite group of order 336 that acts as the full collineation group of the projective line over that field.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: projective special unitary group PSU(2)
Target entity description: The projective special unitary group PSU(2) is a simple Lie group that can be realized as the group of orientation-preserving rotations of three-dimensional Euclidean space.

• A. PSL(2,7)
  PSL(2,7) is a finite simple group of order 168, notable as the full automorphism group of the Klein quartic and as a key example in the theory of projective linear groups over finite fields.
• 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. SL(2,7)
  SL(2,7) is the special linear group of 2×2 matrices with determinant 1 over the finite field with 7 elements, a non-abelian finite group of order 336 that plays an important role in group theory and geometry.
• D. PSL(2,\mathbb{C})
  PSL(2,ℂ) is the group of Möbius transformations acting as all biholomorphic automorphisms of the Riemann sphere.
• E. PGL(2,7)
  PGL(2,7) is the projective general linear group of 2×2 invertible matrices over the finite field with 7 elements, a finite group of order 336 that acts as the full collineation group of the projective line over that field.
• F. None of above. chosen