REVIEW 2 cited by
Descent and forms of tensor categories
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
We develop a theory of descent and forms of tensor categories over arbitrary fields. We describe the general scheme of classification of such forms using algebraic and homotopical language, and give examples of explicit classification of forms. We also discuss the problem of categorification of weak fusion rings, and for the simplest families of such rings, determine which ones are categorifiable.
Forward citations
Cited by 2 Pith papers
-
Classification of symmetric fusion categories over $\mathbb{R}$
Every symmetric fusion category over R is equivalent to the semi-linear super representation category of a Z2-graded finite super group.
-
Compact Semisimple Tensor 2-Categories are Morita Connected
Every compact semisimple tensor 2-category is Morita equivalent to a connected one over arbitrary fields of characteristic zero, with applications to Witt groups and Galois cohomology.
Discussion (0). Continue with ORCID to comment.