135 citations · 253 across the 13 of their papers we have counts for
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math.RT2006★ 7 cited
The small quantum group and the Springer resolution
Roman Bezrukavnikov, Anna Lachowska
In math.RT/0304173 the derived category of the principal block in modules over the Lusztig quantum algebra at a root of unity is related to the derived category of equivariant cohe…
math.RT2006
On tensor categories attached to cells in affine Weyl groups, III
Roman Bezrukavnikov, Michael Finkelberg, Victor Ostrik
We prove a weak version of Lusztig's conjecture on explicit description of the asymptotic Hecke algebras (both finite and affine), and explain its relation to Lusztig's classificat…
math.RT2006★ 59 cited
Noncommutative Counterparts of the Springer Resolution
Roman Bezrukavnikov
Springer resolution of the set of nilpotent elements in a semisimple Lie algebra plays a central role in geometric representation theory. A new structure on this variety has arisen…