Lie group

[ lee ]

noun

, Mathematics.

1. a topological group that is a manifold.

Word History and Origins

Origin of Lie group¹

First recorded in 1935–40; after M. S. Lie

Example Sentences

A central issue in Lie group theory is to find representations of groups: finite collections, say of matrices, that operate like elements of the group.

From Scientific American

“We thought that the best way to get the information out there was to set these pages up, and when the episode airs, a lot of interest will come from that,” one member of the Schofield Lie group told me.

From The Verge

In 2013, he was awarded the Wolf Prize in Mathematics for his contribution to geometry and Lie group theory.

From New York Times

Elementary particle fields of gravity and the Standard Model embedded in the structure of the E8 Lie group.

From Scientific American