scholarly journals Decomposition numbers for Hecke algebras of type G (r , p , n ): the (ε, q )-separated case

2012 ◽  
Vol 104 (5) ◽  
pp. 865-926
Author(s):  
Jun Hu ◽  
Andrew Mathas
Keyword(s):  
Hecke Algebras ◽  
Decomposition Numbers

scholarly journals Some Decomposition Numbers of Hecke Algebras

1997 ◽  
Vol 187 (2) ◽  
pp. 493-509 ◽  
Author(s):  
C.A. Pallikaros
Keyword(s):  
Hecke Algebras ◽  
Decomposition Numbers

scholarly journals Graded decomposition numbers for cyclotomic Hecke algebras

2009 ◽  
Vol 222 (6) ◽  
pp. 1883-1942 ◽  
Author(s):  
Jonathan Brundan ◽  
Alexander Kleshchev
Keyword(s):  
Hecke Algebras ◽  
Decomposition Numbers ◽  
Cyclotomic Hecke Algebras

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.

Sign in / Sign up

Export Citation Format

Share Document