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Casimir element

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In mathematics, a Casimir element (also known as a Casimir invariant or Casimir operator) is a distinguished element of the center of the universal enveloping algebra of a Lie algebra. A prototypical example is the squared angular momentum operator, which is a Casimir element of the three-dimensional rotation group.

Casimir element - Wikipedia Jump to content From Wikipedia, the free encyclopedia Distinguished element of a Lie algebra's center In mathematics , a Casimir element (also known as a Casimir invariant or Casimir operator ) is a distinguished element of the center of the universal enveloping algebra of a Lie algebra . A prototypical example is the squared angular momentum operator , which is a Casimir element of the three-dimensional rotation group . More generally, Casimir elements can be used to refer to any element of the center of the universal enveloping algebra. The algebra of these elemen

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