35 citations · 206 across the 26 of their papers we have counts for
9 papers · 1 filter
Actions of sl_2 on algebras appearing in categorification
Ben Elias, You Qi
We prove that many of the recently-constructed algebras and categories which appear in categorification can be equipped with an action of by derivations. The $\ma…
Categorifying Hecke algebras at prime roots of unity, part I
Ben Elias, You Qi
We equip the type diagrammatic Hecke category with a special derivation, so that after specialization to characteristic it becomes a -dg category. We prove that the defi…
A faithful braid group action on the stable category of tricomplexes
Mikhail Khovanov, You Qi
Bicomplexes of vector spaces frequently appear throughout algebra and geometry. In Section 2 we explain how to think about the arrows in the spectral sequence of a bicomplex via it…
p-DG cyclotomic nilHecke algebras II
You Qi, Joshua Sussan
We categorify tensor products of the fundamental representation of quantum at prime roots of unity building upon earlier work where a tensor product of two Weyl m…
p-DG cyclotomic nilHecke algebras
Mikhail Khovanov, You Qi, Joshua Sussan
We categorify a tensor product of two Weyl modules for quantum sl(2) at a prime root of unity.
The center of the small quantum group II: singular blocks
Anna Lachowska, You Qi
We generalize to the case of singular blocks the result in \cite{BeLa} that describes the center of the principal block of a small quantum group in terms of sheaf cohomology over t…
A categorification of a quantum Frobenius map
You Qi
A quantum Frobenius map a la Lusztig for is categorified at a prime root of unity.
The center of small quantum groups I: the principal block in type A
Anna Lachowska, You Qi
We develop an elementary algebraic method to compute the center of the principal block of a small quantum group associated with a complex semisimple Lie algebra at a root of unity.…
A categorification of quantum sl(2) at prime roots of unity
Ben Elias, You Qi
We categorify the Beilinson-Lusztig-MacPherson integral form of quantum sl(2) specialized at a prime root of unity.