// Workers AI · dad joke modeWhat did the Tangent Lie group say? "We're off on a tangent.

In mathematics, a tangent Lie group is a Lie group whose underlying space is the tangent bundle TG of a Lie group G. As a Lie group, the tangent bundle is a semidirect product of a normal abelian subgroup with underlying space the Lie algebra of G, and G itself.

References

• Kenth, Engø (2003), "Partitioned Runge-Kutta methods in Lie-group setting", BIT Numerical Mathematics, 43 (1): 21–39, doi:10.1023/A:1023668015087, ISSN 0006-3835, MR 1981638