Monoidal abelian envelopes
| Autor: | Kevin Coulembier |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Existence theorem Mathematics - Category Theory Mathematical proof Constructive Tensor (intrinsic definition) Mathematics::Category Theory FOS: Mathematics Category Theory (math.CT) Abelian group Representation Theory (math.RT) Mathematics - Representation Theory Mathematics |
| ISSN: | 0010-437X |
| DOI: | 10.48550/arxiv.2003.10105 |
| Popis: | We prove a constructive existence theorem for abelian envelopes of non-abelian monoidal categories. This establishes a new tool for the construction of tensor categories. As an example we obtain new proofs for the existence of several universal tensor categories as conjectured by Deligne. Another example constructs interesting tensor categories in positive characteristic via tilting modules for ${\rm SL}_2$. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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