Pyramids and 2-representations (Q2177525)

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Pyramids and 2-representations
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    Pyramids and 2-representations (English)
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    6 May 2020
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    Summary: We describe a diagrammatic procedure which lifts strict monoidal actions from additive categories to categories of complexes avoiding any use of direct sums. As an application, we prove that every simple transitive 2-representation of the 2-category of projective bimodules over a finite dimensional algebra is equivalent to a cell 2-representation.
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    2-category
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    2-representation
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    simple transitive 2-representation
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    projective bimodule
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    finite dimensional algebra
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