Lie group

From Groupprops
Revision as of 19:07, 26 February 2011 by Vipul (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search


Let k be a field with an analytic structure on it. A Lie group over k is a group equipped with the structure of an analytic manifold over k, such that the group multiplication and the inverse map preserve the analytic structure.

The field k is typically the field of real numbers, field of complex numbers, or some field extension of the p-adics. See below for the various more specific notions of Lie group: