29 citations · 76 across the 37 of their papers we have counts for
13 papers · 1 filter
Some multiplication formulas in queer -Schur superalgebras
Jie Du, Haixia Gu, Zhenhua Li +1
Building on the work [18], where some standard basis for the queer -Schur superalgebra is defined by a labelling set of matrices and their associated doub…
An exact category approach to Hecke endomorphism algebras
Jie Du, Brian Parshall, Leonard Scott
Let be a finite group of Lie type. In studying the cross-characteristic representation theory of , the (specialized) Hecke algebra $H=\End_G(\ind_B^G1_B)$ has played a impor…
Polynomial super representations of the hyperalgebra of at roots of unity
Jie Du, Yanan Lin, Zhongguo Zhou
As a homomorphic image of the hyperalgebra associated with the quantum linear supergroup , we first give a presentation for the -…
Slim cyclotomic q-Schur algebras
Bangming Deng, Jie Du, Guiyu Yang
We construct a new basis for a slim cyclotomic -Schur algebra $\cysSr$ via symmetric polynomials in Jucys--Murphy operators of the cyclotomic Hecke algebra $\cysHr$. We show tha…
Local and global methods in representations of Hecke algebras
Jie Du, Brian J. Parshall, Leonard L. Scott
This paper aims at developing a "local--global" approach for various types of finite dimensional algebras, especially those related to Hecke algebras. The eventual intention is to…
Stratifying Hecke endomorphism algebras using exact categories
Jie Du, Brian Parshall, Leonard Scott
The paper constructs new Hecke endomorphism algebras with a stratified structure. A novel feature of the proof is to approach difficult Ext^1 vanishing conditions by building entir…