Simple transitive 2-representations of left cell 2-subcategories of projective functors for star algebras |
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Authors: | Jakob Zimmermann |
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Affiliation: | Matematiska Institutionen, Uppsala Universitet, Uppsala, Sweden |
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Abstract: | In this article, we study simple transitive 2-representations of certain 2-subcategories of the 2-category of projective functors over a star algebra. We show that in the simplest case, which is associated to the Dynkin type A2, simple transitive 2-representations are classified by cell 2-representations. In the general case we conjecture that there exist many simple transitive 2-representations which are not cell 2-representations and provide some evidence for our conjecture. |
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Keywords: | Cell 2-representations projective functors simple transitive 2-representations 2-representation theory |
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