90 citations · 865 across the 43 of their papers we have counts for
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A quasi-Hopf algebra for the triplet vertex operator algebra
Thomas Creutzig, Azat M. Gainutdinov, Ingo Runkel
We give a new factorisable ribbon quasi-Hopf algebra U, whose underlying algebra is that of the restricted quantum group for sl(2) at a 2p'th root of unity. The representation cate…
The symplectic fermion ribbon quasi-Hopf algebra and the SL(2,Z)-action on its centre
Vanda Farsad, Azat M. Gainutdinov, Ingo Runkel
We introduce a family of factorisable ribbon quasi-Hopf algebras for a positive integer: as an algebra, is the semidirect product of with…
Projective objects and the modified trace in factorisable finite tensor categories
Azat M. Gainutdinov, Ingo Runkel
For C a factorisable and pivotal finite tensor category over an algebraically closed field of characteristic zero we show: 1) C always contains a simple projective object; 2) if C…
SL(2,Z)-action for ribbon quasi-Hopf algebras
Vanda Farsad, Azat M. Gainutdinov, Ingo Runkel
We study the universal Hopf algebra L of Majid and Lyubashenko in the case that the underlying ribbon category is the category of representations of a finite dimensional ribbon qua…