3 citations · 4 across the 2 of their papers we have counts for
9 papers
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.
The representation type of Hecke algebras of type B
Susumu Ariki, Andrew Mathas
This paper determines the representation type of the Iwahori-Hecke algebras of type B when . In particular, we show that a single parameter non-semisimple Iwahori-Hecke a…
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…