Representations of Hecke Algebras of General Linear Groups

1986 ◽  
Vol s3-52 (1) ◽  
pp. 20-52 ◽  
Author(s):  
Richard Dipper ◽  
Gordon James
Keyword(s):  
Hecke Algebras ◽  
General Linear ◽  
Linear Groups ◽  
General Linear Groups

Some decomposition numbers for Hecke algebras of general linear groups

1996 ◽  
Vol 119 (3) ◽  
pp. 383-402 ◽  
Author(s):  
Matthew J. Richards
Keyword(s):  
Symmetric Group ◽  
Recent Work ◽  
Hecke Algebras ◽  
General Linear ◽  
Linear Groups ◽  
General Linear Groups ◽  
Decomposition Numbers ◽  
Weight One

The theorem which is still known as Nakayama's Conjecture shows how the modular characters of the symmetric group Sn can be divided into blocks of various weights, those with the same weight having similar properties. In fact, all blocks of weight one have essentially the same decomposition numbers and these are easy to describe. In recent work, Scopes [16, 17] has shown that there are essentially only finitely many possibilities for the decomposition numbers for blocks of any given weight, and has given a bound for the number. We develop the combinatorics implicit in her work, and so establish an improved bound.

scholarly journals Hecke algebras, finite general linear groups, and Heisenberg categorification

10.4171/qt/37 ◽  
2013 ◽  
Vol 4 (2) ◽  
pp. 125-185 ◽  
Author(s):  
Anthony Licata ◽  
Alistair Savage
Keyword(s):  
Hecke Algebras ◽  
General Linear ◽  
Linear Groups ◽  
General Linear Groups

scholarly journals general linear groups

1997 ◽  
Vol 90 (3) ◽  
pp. 549-576 ◽  
Author(s):  
Avner Ash ◽  
Mark McConnell
Keyword(s):  
General Linear ◽  
Linear Groups ◽  
General Linear Groups
Sign in / Sign up

Export Citation Format

Share Document