Main Page | See live article | Alphabetical index A superalgebra is a graded algebra equipped with a product called the superLie bracket such that if A and B are "pure" in the grading, then [A,B}=(-1)AB[B,A} (supercommutivity) and (-1)CA[A,[B,C}}+(-1)AB[B,[C,A}}+(-1)BC[C,[A,B}}=0(superJacobi identity). See also Supergroup (physics), Supersymmetry, Quantum group, Lie algebra, Superspace, Grassmann algebra, Anyonic Lie algebra, Anyspace This article is a stub. You can help Wikipedia by fixing it. This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.