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:
“Probably nature itself gave man the ability to lie so that in difficult and tense moments he could protect his nest, just as do the vixen and wild duck.”
—Anton Pavlovich Chekhov (1860–1904)
“Poetry has become the higher algebra of metaphors.”
—José Ortega Y Gasset (1883–1955)