Monoidal Supercategories and Superadjunction

Authors

Dene Lepine, University of OttawaFollow

Abstract

We define the notion of superadjunction in the context of supercategories. In particular, we give definitions in terms of counit-unit superadjunctions and hom-space superadjunctions, and prove that these two definitions are equivalent. These results generalize well-known statements in the non-super setting. In the super setting, they formalize some notions that have recently appeared in the literature. We conclude with a brief discussion of superadjunction in the language of string diagrams.

Author Bio

Dene Lepine was an undergraduate student at the University of Ottawa and will soon be a Master’s student there as well. His interests lie within Lie theory and representation theory. While he is not doing mathematics he can be found doing Brazilian Ju-Jitsu or looking for new things to learn.

Faculty Sponsor

Alistair Savage

Recommended Citation

Lepine, Dene (2019) "Monoidal Supercategories and Superadjunction," Rose-Hulman Undergraduate Mathematics Journal: Vol. 20: Iss. 1, Article 9.
Available at: https://scholar.rose-hulman.edu/rhumj/vol20/iss1/9