Abstract
We present some blocks of ArikiKoike algebras H_{n,r} for which the decomposition matrices are independent of the characteristic of the underlying field. We complete the description of the graded decomposition numbers for blocks of ArikiKoike algebras of weight at most two, which consists of analysing the indecomposable core blocks at level r = 3, and give a closed formula for the decomposition numbers in this case.
Original language  English 

Pages (fromto)  21122142 
Number of pages  31 
Journal  Journal of Pure and Applied Algebra 
Volume  220 
Issue number  6 
Early online date  14 Nov 2015 
DOIs  
Publication status  Published  Jun 2016 
Keywords
 Cyclotomic hecke algebra
 quiver hecke algebra
 Specht moduls
 decomposition numbers
Profiles

Sinead Lyle
 School of Mathematics  Associate Professor
 Algebra and Combinatorics  Member
Person: Research Group Member, Academic, Teaching & Research