Where does lie collide?

In the psychology of deception, a lie is a message a communicator deliberately transmits to foster in another a belief the communicator holds to be untrue. DePaulo and colleagues' 2003 meta-analysis Cues to deception catalogued the behavioural differences between lying and truth-telling and found them generally faint and inconsistent, undercutting the folklore of obvious 'tells'. The referent is an intentional false communication, studied through its cues, detectability, and motivation, and it has nothing to do with a golf ball's lie or a Lie group beyond the shared three letters.[1]

Unit

An intentionally false statement transmitted to mislead

Recovery means

Not applicable

Measured by

Studied through behavioural cues, detection accuracy, and the sender's motivation and stakes

In mathematics, a Lie group is a group that is also a smooth manifold, so that its continuous symmetries can be handled with calculus; its local structure is captured by an associated Lie algebra. Hall's Lie Groups, Lie Algebras, and Representations gives an elementary route into this theory, which is central to geometry and theoretical physics. Here the word is an eponym (these objects are named for the Norwegian mathematician Sophus Lie and are pronounced 'Lee'), so the clash with the golf and deception meanings is orthographic rather than semantic; that it is a spelling coincidence, not a shared meaning, is our framing of why it still earns a place on the map.[2]

Unit

A group that is simultaneously a smooth manifold of continuous symmetries

Recovery means

Not applicable

Measured by

Described by its dimension, its associated Lie algebra, and its representations