Blocks of Ariki–Koike algebras and level-rank duality

We study the blocks for Ariki–Koike algebras using a general notion of core for [Formula: see text]-partitions. We interpret the action of the affine symmetric group on the blocks in the context of level rank duality and study the orbits under this action.

Authors

Institutions

Publication Details

Journal
Journal of Algebra and Its Applications
Published
2025-12-30
DOI
https://doi.org/10.1142/s0219498827501258
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Blocks of Ariki–Koike algebras and level-rank duality

David Declercq, Nicolas Jacon
Journal of Algebra and Its Applications
Algebraic structures and combinatorial models
article

Blocks of Ariki–Koike algebras and level-rank duality

David Declercq, Nicolas Jacon
article en

Abstract

We study the blocks for Ariki–Koike algebras using a general notion of core for [Formula: see text]-partitions. We interpret the action of the affine symmetric group on the blocks in the context of level rank duality and study the orbits under this action.

Journal of Algebra and Its Applications
Centre National de la Recherche Scientifique (FR), Université de Reims Champagne-Ardenne (FR)
Reduced inequalities
Openalex Percentile: Top 20%
Algebraic structures and combinatorial models
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Blocks of Ariki–Koike algebras and level-rank duality — David Declercq, Nicolas Jacon · Journal of Algebra and Its Applications (2025) | TGRS Research Map | TGRS