supersymmetry

# Contents

## Idea

A super-commutative algebra is a commutative algebra internal to the symmetric monoidal category of super vector spaces, hence a $\mathbb{Z}/2$-graded associative algebra such that for $a, b$ any two elements of homogeneous degree $deg(a), deg(b) \in \mathbb{Z}/2 = \{0,1\}$, then

$a b = (-1)^{deg(a) deg(b)} b a \,.$

For more see at geometry of physics – superalgebra.

## Examples

Last revised on April 8, 2018 at 12:51:32. See the history of this page for a list of all contributions to it.