7 papers
On Cellularity of Hecke Algebras for Wreath Products
Berta Hudak, Chun-Ju Lai
The (generalized) Hu algebra is a nontrivial quantization of the wreath product between symmetric groups, whose representation theory controls the Hecke algebra of…
Schurification of polynomial quantum wreath products
Chun-Ju Lai, Alexandre Minets
We study the Schur algebra counterpart of a vast class of quantum wreath products. This is achieved by developing a theory of twisted convolution algebras, inspired by geometric in…
Quantum wreath products and Schur--Weyl duality II
Chun-Ju Lai, Daniel K. Nakano, Ziqing Xiang
In the first part of this series, the authors introduced the quantum wreath product, providing a unified framework that encompasses numerous results previously addressed only throu…
On the Springer correspondence for wreath products
You-Hung Hsu, Chun-Ju Lai
We establish a Bruhat decomposition indexed by the wreath product between two symmetric groups -- note that is not a Coxeter group in general. We show…
Quantum wreath products and -adic general linear group
Valentin Buciumas, Chun-Ju Lai
We study the pro- Iwahori-Hecke algebra and its Gelfand-Graev modules for the -adic general linear group and its metaplectic covers. We develop the theory of quantum wreath p…
Category for Lie superalgebras
Chun-Ju Lai, Daniel K. Nakano, Arik Wilbert
The authors define a Category for any quasi-reductive Lie superalgebra with respect to a triangular decomposition. This much needed approach unifies ma…