The Beard "I WAS bald!"), Elaine angrily throws his wig out the window, and the homeless guy picks it up. After the date, Elaine invites Robert to her apartment. Wig-less George tells Jerry he is again himself, and will continue seeing the bald woman; he then tells Jerry, who is going to take the lie detector test, that a lie is not a lie if he believes it. Later, Elaine triumphantly announces to Jerry that Robert has defected from his team and that the conversion went perfectly ("Sex and shopping"). Afterwards, Kramer is still doing police lineups. Jerry takes the lie detector
Lie group symmetries include rotation about an axis. What must be understood is the nature of 'small' transformations, for example, rotations through tiny angles, that link nearby transformations. The mathematical object capturing this structure is called a Lie algebra (Lie himself called them "infinitesimal groups"). It can be defined because Lie groups are smooth manifolds, so have tangent spaces at each point. The Lie algebra of any compact Lie group (very roughly: one for which the symmetries form a bounded set) can be decomposed as a direct sum of an abelian Lie algebra and some number of simple ones. The structure of