Explore: Cohomology Of Lie (super)algebras

hold). Just as for Lie algebras, the universal enveloping algebra of the Lie superalgebra can be given a Hopf algebra structure. Lie superalgebras show

new Lie algebras by following Frenkel's method. The notion of vertex operator algebra was introduced as a modification of the notion of vertex algebra, by

further extensions of these algebras with more supersymmetry, such as the N = 2 superconformal algebra. W-algebras are associative algebras which contain the

Hochschild cohomology H*(A,A) of an algebra A is a Gerstenhaber algebra. A Batalin–Vilkovisky algebra has an underlying Gerstenhaber algebra if one forgets

formalism much like differential graded Lie algebras are. There exists several different definitions of a homotopy Lie algebra, some particularly suited to certain

generalized cohomology theory. Eilenberg–Zilber theorem elliptic elliptic cohomology. En-algebra equivariant algebraic topology Equivariant algebraic topoloy

Lie algebra is a Lie algebra endowed with a gradation which is compatible with the Lie bracket. In other words, a graded Lie algebra is a Lie algebra

theory of vertex operator algebras and generalized Kac–Moody algebras. In 1978, John McKay found that the first few terms in the Fourier expansion of the

defining higher dimensional algebras is the concept of 2-category of higher category theory, followed by the more 'geometric' concept of double category. A higher

super-equivalents, including much of Riemannian geometry and most of the theory of Lie groups and Lie algebras (such as Lie superalgebras, etc.) However,