nLab
Casimir operator

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Definition

Given a Lie algebra 𝔤\mathfrak{g}, then a Casimir element or Casimir invariant is an element in the center of its universal enveloping algebra U(𝔤)U(\mathfrak{g}).

Often this is considered with some Lie algebra representation in mind, in which case one speaks of Casimir operators.

References

Named after Hendrik Casimir, who discovered the concept in the context of rigid body dynamics.

Created on January 9, 2017 at 09:29:20. See the history of this page for a list of all contributions to it.