199 citations · 527 across the 27 of their papers we have counts for
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Ribbon Yetter--Drinfeld modules and tangle invariants
Kazuo Habiro, Yuka Kotorii
We define notions of pivotal and ribbon objects in a monoidal category. These constructions give pivotal or ribbon monoidal categories from a monoidal category which is not necessa…
Cyclicity for categorified quantum groups
Anna Beliakova, Kazuo Habiro, Aaron D. Lauda +1
We equip the categorified quantum group attached to a KLR algebra and an arbitrary choice of scalars with duality functor which is cyclic, that is, such that f=f^** for all 2-morph…
Current algebras and categorified quantum groups
Anna Beliakova, Kazuo Habiro, Aaron D. Lauda +1
We identify the trace, or 0th Hochschild homology, of type ADE categorified quantum groups with the corresponding current algebra of the same type. To prove this, we show that 2-re…
Trace as an alternative decategorification functor
Anna Beliakova, Zaur Guliyev, Kazuo Habiro +1
Categorification is a process of lifting structures to a higher categorical level. The original structure can then be recovered by means of the so-called "decategorification" funct…
Trace decategorification of categorified quantum sl(3)
Marko Živković
We prove that the trace of categorified quantum sl(3) introduced by M. Khovanov and A. Lauda can also be identified with quantum sl(3), thus providing an alternative way of decateg…
Trace decategorification of categorified quantum sl(2)
Anna Beliakova, Kazuo Habiro, Aaron D. Lauda +1
The trace or the th Hochschild--Mitchell homology of a linear category may be regarded as a kind of decategorification of . We compute traces of the t…