17 citations · 74 across the 21 of their papers we have counts for
25 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…
Some tables of right set properties in affine Weyl groups of type A
Leonard L. Scott, Ethan C. Zell
The tables of this title are a first attempt to understand empirically the sizes of certain distinguished sets, introduced by Hankyung Ko, of elements in affine Weyl groups. The si…
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…
Remarks on the ABG Induction Theorem
Terrell L. Hodge, Paramasamy Karuppuchamy, Leonard L. Scott
A key result in a 2004 paper by S. Arkhipov, R. Bezrukavnikov, and V. Ginzburg compares the bounded derived category of modules for the principal block of a Lusztig quantum envelop…
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…