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

Love words?

You must — there are over 200,000 words in our free online dictionary, but you are looking for one that’s only in the Merriam-Webster Unabridged Dictionary.

Start your free trial today and get unlimited access to America's largest dictionary, with:

  • More than 250,000 words that aren't in our free dictionary
  • Expanded definitions, etymologies, and usage notes
  • Advanced search features
  • Ad free!

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 14 Nov. 2024.

Love words? Need even more definitions?

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