I will define what is an abelian envelope of a fixed rigid symmetric monoidal category, in the sense of Deligne. I will also give several examples and applications, both in characteristic zero and in positive characteristic.Non UBCUnreviewedAuthor affiliation: Ben Gurion UniversityResearche
We identify natural symmetries of each rigid higher braided category. Specifically, we construct a f...
We construct Quillen equivalences between the model categories of monoids (rings), modules and algeb...
We introduce the symmetricity notions of symmetric hmonoidality, symmetroidality, and symmetric flat...
We prove that any rigid additive symmetric monoidal category can be mapped to a rigid abelian symmet...
Contains fulltext : 132640.pdf (preprint version ) (Open Access
We define admissible and weakly admissible subcategories in exact categories and prove that the form...
Contains fulltext : 178665.pdf (preprint version ) (Open Access
This is a report on aspects of the theory and use of monoidal categories. The first section introduc...
We show that each rigid monoidal category A over a field defines a family of universal tensor catego...
We classify the indecomposable objects in the monoidal center of Deligne's interpolation category Re...
We classify the indecomposable objects in the monoidal center of Deligne's interpolation category Re...
We classify the indecomposable objects in the monoidal center of Deligne's interpolation category Re...
AbstractWe extend the calculus of relations to embed a regular category A into a family of pseudo-ab...
Acknowledgments I would like to thank Pierre Deligne for discussion and comments on an earlier versi...
AbstractWe prove Heyneman–Radford Theorem in the framework of monoidal categories
We identify natural symmetries of each rigid higher braided category. Specifically, we construct a f...
We construct Quillen equivalences between the model categories of monoids (rings), modules and algeb...
We introduce the symmetricity notions of symmetric hmonoidality, symmetroidality, and symmetric flat...
We prove that any rigid additive symmetric monoidal category can be mapped to a rigid abelian symmet...
Contains fulltext : 132640.pdf (preprint version ) (Open Access
We define admissible and weakly admissible subcategories in exact categories and prove that the form...
Contains fulltext : 178665.pdf (preprint version ) (Open Access
This is a report on aspects of the theory and use of monoidal categories. The first section introduc...
We show that each rigid monoidal category A over a field defines a family of universal tensor catego...
We classify the indecomposable objects in the monoidal center of Deligne's interpolation category Re...
We classify the indecomposable objects in the monoidal center of Deligne's interpolation category Re...
We classify the indecomposable objects in the monoidal center of Deligne's interpolation category Re...
AbstractWe extend the calculus of relations to embed a regular category A into a family of pseudo-ab...
Acknowledgments I would like to thank Pierre Deligne for discussion and comments on an earlier versi...
AbstractWe prove Heyneman–Radford Theorem in the framework of monoidal categories
We identify natural symmetries of each rigid higher braided category. Specifically, we construct a f...
We construct Quillen equivalences between the model categories of monoids (rings), modules and algeb...
We introduce the symmetricity notions of symmetric hmonoidality, symmetroidality, and symmetric flat...
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