Word.ws English Dictionary

Lie groups

Lie groups is the plural of Lie group.

Meaning of Lie group

Noun

Lie group (plural Lie groups)

  1. Any group that is a smooth manifold and whose group operations are differentiable.
    • Every connected Lie group is homotopically equivalent to its maximal compact subgroup. This reduces the study of the homotopy and homology of Lie groups to the compact case.1994, Silvio Levy (translator), Albert S. Schwarz, Topology for Physicists, [1989, A. S. Shvarts, Kvantovaya teoriya polya i topologiya], Springer, 1996, 2nd Printing, page 233

Questions about Lie groups

What is Lie groups the plural of?
Lie groups is the plural of Lie group.

Words near Lie groups in the dictionary

  1. lie down
  2. lie down on the job
  3. Lie group
  4. Lie groupoid
  5. Lie groupoids
  6. Lie groups
  7. lie ill in one's mouth
  8. lie in
  9. lie in ambush
  10. lie in honor
  11. lie in one's throat

Source and license

Adapted from Wiktionary: Lie groups (page history and authors); Lie group (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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