6 citations · 8 across the 12 of their papers we have counts for
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Big categorification on towers of classical groups and wreath product groups
Xin Huang, Pengcheng Li, Yaolong Shen
We develop a uniform framework for ``big'' categorification of representation categories of towers of finite classical groups and wreath product groups. We construct actions of sym…
Descent of splendid Rickard equivalences in
Xin Huang, Pengcheng Li, Jiping Zhang
Let be a positive integer and a prime power. We prove that a refined version of Broué's abelian defect group conjecture holds for unipotent -blocks of …
The strengthened Broué abelian defect group conjecture for and
Xin Huang, Pengcheng Li, Jiping Zhang
We show that each -block of and over an arbitrary complete discrete valuation ring is splendidly Rickard equivalent to its Brauer corresponde…
Categorical actions and derived equivalences for finite odd-dimensional orthogonal groups
Pengcheng Li, Yanjun Liu, Jiping Zhang
In this paper we prove that Broué's abelian defect group conjecture is true for the finite odd-dimensional orthogonal groups $\SO_{2n+1}(q)$ at linear primes with odd. We first…
On the inductive blockwise Alperin weight condition for the unipotent blocks of finite groups of Lie type E_6
Yucong Du, Pengcheng Li, Shuyang Zhao
In this article, we consider the finite exceptional groups of Lie type and . We prove the inductive blockwise Alperin weight condition holds for unipotent -blocks o…