Lie group

noun

: a topological group for which the coordinates of the product of two elements are functions of the coordinates of the elements themselves and the coordinates of the inverse of an element are functions of the coordinates of the element itself and for which all derivatives of these functions exist and are continuous

Word History

Etymology

Sophus Lie

The Ultimate Dictionary Awaits

Expand your vocabulary and dive deeper into language with Merriam-Webster Unabridged.

  1. Expanded definitions
  2. Detailed etymologies
  3. Advanced search tools
  4. All ad-free

Discover what makes Merriam-Webster Unabridged the essential choice for true word lovers.

Start Your Free Trial Now

Dictionary Entries Near Lie group

Cite this Entry

“Lie group.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Lie%20group. Accessed 25 Dec. 2024.

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!