2-categories of symmetric bimodules and their 2-representations
| Autor: | Volodymyr Mazorchuk, Vanessa Miemietz, Xiaoting Zhang |
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| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Transitive relation General Mathematics 010102 general mathematics Structure (category theory) 16. Peace & justice 01 natural sciences Action (physics) Simple (abstract algebra) Mathematics::Category Theory 0103 physical sciences FOS: Mathematics 010307 mathematical physics Representation Theory (math.RT) 0101 mathematics Algebra over a field Projective test Abelian group Mathematics - Representation Theory Mathematics |
| Popis: | In this article we analyze the structure of 2-categories of symmetric projective bimodules over a finite dimensional algebra with respect to the action of a finite abelian group. We determine under which condition the resulting 2-category is fiat (in the sense of Mazorchuk and Miemietz (2011)) and classify simple transitive 2-representations of this 2-category (under some mild technical assumption). We also study several classes of examples in detail. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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