3 citations · 5 across the 8 of their papers we have counts for
9 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 th…
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…
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…
Infinite-Dimensional Towers and a Categorification of Differential Operators on
Chun-Ju Lai, Cailan Li
We introduce axioms for towers of infinite-dimensional algebras such that the corresponding Grothendieck groups of projective and finite-dimensional modules are Hopf dual to each o…
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…
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…
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 tha…
On -Schur algebras corresponding to Hecke algebras of type B
Chun-Ju Lai, Daniel K. Nakano, Ziqing Xiang
In this paper the authors investigate the -Schur algebras of type B that were constructed earlier using coideal subalgebras for the quantum group of type A. The authors present…
On Weyl modules over affine Lie algebras in prime characteristic
Chun-Ju Lai
We construct a family of homomorphisms between Weyl modules for affine Lie algebras in characteristic p, which supports our conjecture on the strong linkage principle in this conte…