∞-Lie theory (higher geometry)
Background
Smooth structure
Higher groupoids
Lie theory
∞-Lie groupoids
∞-Lie algebroids
Formal Lie groupoids
Cohomology
Homotopy
Related topics
Examples
-Lie groupoids
-Lie groups
-Lie algebroids
-Lie algebras
Given a Lie algebra over the real numbers or complex numbers, and gives a choice of linear basis of , the corresponding Inönü-Wigner contraction is the Lie algebra obtained by “sending to zero”, i.e. the Lie algebra obtained from the previous one by passing to basis elements with in the ground field, in the limit that .
The original article is
See also
Wikipedia, Group contraction
E. J. Saletan, Contraction of Lie Groups. Journal of Mathematical Physics 2: 1–1 (1961)
Last revised on January 13, 2020 at 14:27:33. See the history of this page for a list of all contributions to it.