nLab
super 2-algebra

Contents

Context

Super-Algebra and Super-Geometry

Higher algebra

Higher category theory

higher category theory

Basic concepts

Basic theorems

Applications

Models

Morphisms

Functors

Universal constructions

Extra properties and structure

1-categorical presentations

Contents

Idea

The notion of symmetric monoidal tensor category may be thought of as a categorification of the notion of commutative ring, a 2-ring or 2-algebra.

Now the notion of super 2-algebra is accordingly supposed to be the notion categorifying super algebra.

References

The definition of super 2-algebra starts at 33:10 in

(while the first 30 minutes are concerned with discussion of how super-grading is implied by grading (augmented infinity-groups) over the sphere spectrum, see at superalgebra - Abstract idea).

The example of the super 2-algebra of superalgebras starts at 39:30,

the example of the exterior 2-algebra of a super-linear category starts at 47:30.

Last revised on June 23, 2013 at 22:15:44. See the history of this page for a list of all contributions to it.