8 citations · 28 across the 10 of their papers we have counts for
10 papers
Tensor powers of vector representation of at even roots of unity
Anna Lachowska, Olga Postnova, Nicolai Reshetikhin +1
We study the decomposition of tensor powers of two dimensional irreducible representations of quantum at even roots of unity into direct sums of tilting modules.…
On the affine Springer fibers inside the invariant center of the small quantum group
Nicolas Hemelsoet, Oscar Kivinen, Anna Lachowska
Let denote the small quantum group associated with a simple Lie algebra and a root of unity . In [9], a geometric realization of $Z(\ma…
Remarks on the derived center of small quantum groups
Anna Lachowska, You Qi
Let be the small quantum group associated with a complex semisimple Lie algebra and a primitive root of unity q, satisfying certain rest…
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…
The center of the small quantum group u_q(sl_3) for l=5: a numerical computation
Steven Glenn Jackson, Anna Lachowska
This is a brief note on a numerical computation of the dimension of the center of the small quantum group u_q(sl_3) at the 5th root of unity. The obtained dimension is 57. Using th…
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.…