34 citations · 105 across the 20 of their papers we have counts for
23 papers
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…
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…
From forced gradings to Q-Koszul algebras
Brian Parshall, Leonard Scott
This paper has two parts. The main goal, carried out in Part I, is to survey some recent work by the authors in which "forced" grading constructions have played a significant role…
Extending Hecke endomorphism algebras at roots of unity
Jie Du, Brian Parshall, Leonard Scott
The (Iwahori-)Hecke algebra in the title is a -deformation $\sH$ of the group algebra of a finite Weyl group . The algebra $\sH$ has a natural enlargement to an endomorphism…
Q-Koszul Algebras and Three Conjectures
Brian Parshall, Leonard Scott
In previous work, the authors introduced the notion of Q-Koszul algebras, as a tool to "model" module categories for semisimple algebraic groups over fields of large characteristic…