The classification of blocks in BGG category $${\mathcal {O}}$$
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DOI: 10.1007/s00209-019-02376-9
Abstract: We classify all equivalences between the indecomposable abelian categories which appear as blocks in BGG category $${\mathcal {O}}$$ for reductive Lie algebras. Our classification implies that a block in category $${\mathcal {O}}$$ only depends on… read more here.
Keywords: category mathcal; blocks bgg; bgg category; classification blocks ... See more keywords
A Category of Multiplier Bimonoids
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DOI: 10.1007/s10485-016-9429-z
Abstract: The central object studied in this paper is a multiplier bimonoid in a braided monoidal categoryC$\mathcal {C}$, introduced and studied in Böhm and Lack (J. Algebra 423, 853–889 2015). Adapting the philosophy in Janssen and… read more here.
Keywords: category; multiplier bimonoids; category mathcal; mathcal whose ... See more keywords
Monoidal Categories Enriched in Braided Monoidal Categories
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DOI: 10.1093/imrn/rnx217
Abstract: We introduce the notion of a monoidal category enriched in a braided monoidal category $\mathcal V$. We set up the basic theory, and prove a classification result in terms of braided oplax monoidal functors to… read more here.
Keywords: enriched braided; braided monoidal; monoidal categories; category mathcal ... See more keywords