In mathematics, Lie algebra cohomology is a cohomology theory for Lie algebras. It was defined by Chevalley and Eilenberg (1948) in order to give an algebraic construction of the cohomology of the underlying topological spaces of compact Lie groups. In the paper above, a specific complex, called the Koszul complex, is defined for a module over a Lie algebra, and its cohomology is taken in the normal sense.
Read more about Lie Algebra Cohomology: Motivation, Definition, Cohomology in Small Dimensions
Famous quotes containing the words lie and/or algebra:
“The Republican Party does not perceive how many his failure will make to vote more correctly than they would have them. They have counted the votes of Pennsylvania & Co., but they have not correctly counted Captain Brown’s vote. He has taken the wind out of their sails,—the little wind they had,—and they may as well lie to and repair.”
—Henry David Thoreau (1817–1862)
“Poetry has become the higher algebra of metaphors.”
—José Ortega Y Gasset (1883–1955)