Simple transitive 2-representations of 2-categories associated to self-injective cores

Autor: Mateusz Stroiński

Given a finite dimensional algebra $A$, we consider certain sets of idempotents of $A$, called self-injective cores, to which we associate 2-subcategories of the 2-category of projective bimodules over $A$. We classify the simple transitive 2-represe

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http://arxiv.org/abs/2007.03990

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Simple transitive $2$-representations of left cell $2$-subcategories of projective functors for star algebras

Autor: Jakob Zimmermann

In this paper we study simple transitive $2$-representations of certain $2$-subcategories of the $2$-category of projective functors over a star algebra. We show that in the simplest case, which is associated to the Dynkin type $A_2$, simple transiti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::287e0c88155898db8b85c3bffe6250d1
http://arxiv.org/abs/1805.05724

Trihedral Soergel bimodules

Autor: Daniel Tubbenhauer, Vanessa Miemietz, Volodymyr Mazorchuk, Marco Mackaay

Publikováno v: Fundamenta Mathematicae
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

The quantum Satake correspondence relates dihedral Soergel bimodules to the semisimple quotient of the quantum $\mathfrak{sl}_2$ representation category. It also establishes a precise relation between the simple transitive $2$-representations of both

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