Structure and representations of bimodule categories

H Jonsson - 2023 - diva-portal.org
Abstract Jonsson, H. 2023. Structure and representations of bimodule categories. Uppsala
Dissertations in Mathematics 133. Uppsala: Department of Mathematics. ISBN 978-91-506 …

[PDF][PDF] Morphisms and modules for poly-bicategories

JRB Cockett, J Koslowski, RAG Seely - Theory and Applications of …, 2003 - tac.mta.ca
Linear bicategories are a generalization of ordinary bicategories in which there are two
horizontal (1-cell) compositions corresponding to the “tensor” and “par” of linear logic …

Cells and 2-representations of bimodules over Nakayama algebras

H Jonsson - 2020 - diva-portal.org
Cells and 2-representations of bimodules over Nakayama algebras Page 1 UUDM Report
2020:2 Department of Mathematics Uppsala University Cells and 2-representations of …

Module categories, internal bimodules, and Tambara modules

M Stroiński - Proceedings of the London Mathematical Society, 2024 - Wiley Online Library
We use the theory of Tambara modules to extend and generalize the reconstruction theorem
for module categories over a rigid monoidal category to the nonrigid case. We show a …

Bisets as categories and tensor product of induced bimodules

S Bouc - Applied Categorical Structures, 2010 - Springer
Bisets as Categories and Tensor Product of Induced Bimodules Page 1 Appl Categor Struct
(2010) 18:517–521 DOI 10.1007/s10485-008-9180-1 Bisets as Categories and Tensor …

[HTML][HTML] The bicategories of corings

T Brzeziński, L El Kaoutit… - Journal of Pure and …, 2006 - Elsevier
To a B-coring and a (B, A)-bimodule that is finitely generated and projective as a right A-
module an A-coring is associated. This new coring is termed a base ring extension of a …

Monoidal 2-structure of bimodule categories

J Greenough - Journal of Algebra, 2010 - Elsevier
We define a notion of tensor product of bimodule categories and prove that with this product
the 2-category of C-bimodule categories for fixed tensor C is a monoidal 2-category in the …

[PDF][PDF] Duals in tricategories and in the tricategory of bimodule categories

G Schaumann - 2013 - opus4.kobv.de
This thesis investigates duals in tricategories. We develop different notions of duals in
general tricategories, that are motivated from geometric applications. Furthermore we show …

[HTML][HTML] Categories enriched on two sides

M Kelly, A Labella, V Schmitt, R Street - Journal of Pure and Applied …, 2002 - Elsevier
We introduce morphisms V→ W of bicategories, more general than the original ones of
Bénabou. When V= 1, such a morphism is a category enriched in the bicategory W …

Framed bicategories and monoidal fibrations

MA Shulman - arXiv preprint arXiv:0706.1286, 2007 - arxiv.org
In some bicategories, the 1-cells aremorphisms' between the 0-cells, such as functors
between categories, but in others they areobjects' over the 0-cells, such as bimodules …