Endomorphisms of cell 2-representations

By Volodymyr Mazorchuk, Vanessa Miemietz. 2012

56 citations recorded by the source corpus.

We determine the endomorphism categories of cell 2-representations of fiat 2-categories associated with strongly regular two-sided cells under some natural assumptions. Along the way, we completely describe J-simple fiat 2-categories which have only one two-sided cell J apart from the identities, under the same conditions as above. For positively graded 2-categories, we show that the additional restrictions are redundant.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c884cc4fede2eef4ee710502dfbfb6852ef9d7ec

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Vanessa Miemietz
2. Volodymyr Mazorchuk
3. C. Stroppel
4. Jonathan Nilsson
5. Kaiming Zhao

In Geometry and Topology

1. Vanessa Miemietz
2. Volodymyr Mazorchuk
3. C. Stroppel
4. Jonathan Nilsson
5. Kaiming Zhao
6. Joshua Sussan
7. Ben Webster
8. Jonathan Brundan

In Mathematical Physics

1. Vanessa Miemietz
2. Volodymyr Mazorchuk
3. C. Stroppel
4. Jonathan Nilsson
5. Joshua Sussan

Citations in the corpus

• Transitive 2-representations of finitary 2-categories (2014, methodology): “ VANESSAMIEMIETZ module category of a finite dimensional self-injective algebra. Moreover, it also includes all variations of the latter 2-category which constitute a list of finitary 2-categories from [MM3] satisfying a 2-analogue of simplicity for a finite dimensional algebra. The classification resul”