60 citations · 582 across the 131 of their papers we have counts for
7 papers · 1 filter
Simple transitive 2-representations via (co)algebra 1-morphisms
Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz +1
For any fiat 2-category C, we show how its simple transitive 2-representations can be constructed using coalgebra 1-morphisms in the injective abelianization of C. Dually, we show…
Fiat categorification of the symmetric inverse semigroup IS_n and the semigroup F^*_n
Paul Martin, Volodymyr Mazorchuk
Starting from the symmetric group , we construct two fiat -categories. One of them can be viewed as the fiat "extension" of the natural -category associated with the sym…
Simple transitive 2-representations of small quotients of Soergel bimodules
Tobias Kildetoft, Marco Mackaay, Volodymyr Mazorchuk +1
In all finite Coxeter types but , and , we classify simple transitive -rep\-re\-sen\-ta\-ti\-ons for the quotient of the -category of Soergel bimo…
Simple transitive 2-representations for some 2-subcategories of Soergel bimodules
Marco Mackaay, Volodymyr Mazorchuk
We classify simple transitive -representations of certain -sub\-ca\-te\-go\-ri\-es of the -category of Soergel bimodules over the coinvariant algebra in Coxeter types $B_2…
Special modules over positively based algebras
Tobias Kildetoft, Volodymyr Mazorchuk
We use the Perron-Frobenius Theorem to define, study and, in some sense, classify special simple modules over arbitrary finite dimensional positively based algebras. For group alge…
Simple transitive 2-representations for two non-fiat 2-categories of projective functors
Volodymyr Mazorchuk, Xiaoting Zhang
We show that any simple transitive -representation of the -ca\-te\-go\-ry of projective endofunctors for the quiver algebra of $\Bbbk(\xymatrix{\bullet\ar[r]&\bullet})$ and f…