Abstract
We present some blocks of Ariki-Koike 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 Ariki-Koike 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 (from-to) | 2112-2142 |
| 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 Engineering, Mathematics and Physics - Associate Professor
- Algebra, Number Theory, Logic, and Representations (ANTLR) - Member
Person: Research Group Member, Academic, Teaching & Research