22 citations · 116 across the 32 of their papers we have counts for
7 papers · 1 filter
Cyclotomic Nazarov-Wenzl algebras
Susumu Ariki, Andrew Mathas, Hebing Rui
Nazarov \cite{Nazarov:brauer} introduced an infinite dimensional algebra, which he called the \textit{affine Wenzl algebra}, in his study of the Brauer algebras. In this paper we s…
Hecke algebras of classical type and their representation type
Susumu Ariki
Let be a finite Weyl group of classical type which may not be irreducible, an algebraically closed field, an invertible element of . We denote by t…
Uno's conjecture on representation types of Hecke algebras
Susumu Ariki
Based on a recent result of Mathas and the author, we prove that Uno's conjecture on representation types of Hecke algebras is true for all Hecke algebras of classical type.
Some remarks on A_1^{(1)} soliton cellular automata
Susumu Ariki
In this short note, we describe the A_1^{(1)} soliton cellular automata as an evolution of a poset. This allows us to explain the conservation laws for the A_1^{(1)} soliton cellul…
Robinson-Schensted correspondence and left cells
Susumu Ariki
Although the Robinson-Schensted-Knuth correspondence is a classical subject, its study is still active because of new development in last two decades. In this field, fundamental re…
Lectures on cyclotomic Hecke algebras
Susumu Ariki
These are lecture notes prepared for London Mathematical Society Symposium "Quantum Groups" held in Durham 19-29 July 1999. We give a survey on cyclotomic Hecke algebras. These alg…
On the classification of simple modules for cyclotomic Hecke algebras of type G(m,1,n) and Kleshchev multipartitions
Susumu Ariki
We give a proof of a conjecture that Kleshchev multipartitions are those partitions which parametrize non-zero simple modules obtained as factor modules of Specht modules by their…