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: Poincaré group | Statement: [Minkowski metric η_{μν}, invarianceGroup, Poincaré group]

Target entity: Poincaré group
Context triple: [Minkowski metric η_{μν}, invarianceGroup, Poincaré group]

• A. Poincaré group chosen
  The Poincaré group is the fundamental symmetry group of special relativity, combining spacetime translations with Lorentz transformations in four-dimensional Minkowski space.
• B. Lorentz group
  The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
• C. Galilean group
  The Galilean group is the mathematical group of spacetime transformations—comprising translations, rotations, and Galilean boosts—that characterize the symmetries of classical Newtonian mechanics.
• D. Euclidean group
  The Euclidean group is the group of all distance-preserving transformations of Euclidean space, consisting of rotations, reflections, and translations.
• E. Lie group
  A Lie group is a mathematical structure that is both a smooth manifold and a group, where the group operations are differentiable and used to study continuous symmetries.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: invarianceGroup
Context triple: [Minkowski metric η_{μν}, invarianceGroup, Poincaré group]

• A. invariantOf
  Indicates that one element is an invariant (a property or quantity that remains unchanged) with respect to another element, system, or transformation.
• B. invariantUnder chosen
  Indicates that a property, structure, or quantity remains unchanged when a specified transformation or operation is applied.
• C. invariantType
  Indicates that one entity has a type or classification that remains constant or unchanged under specified conditions or transformations.
• D. ISOGroupingStatus
  Indicates the relationship between an entity and its classification or status within an ISO-defined grouping or category.
• E. movementGrouping
  Indicates that multiple movements or motion events are treated as a single grouped or coordinated unit within a larger action or process.
• F. None of above.