Continuous Groups with Antilinear Operations

Abstract

Continuous groups of the form: $G+a_{0}G$ are defined, where $G$ denotes a Lie group and $a_0$ denotes an antilinear operation which fullfils the condition $a_0^2=\pm 1$. The matrix algebras connected with the groups $G+a_{0}G$ are defined. The structural constants of these algebras fulfill the conditions following from the Jacobi identities.

10 pages