The number of simple modules of the Hecke algebras of type G(r,1,n)
By S. Ariki, Andrew Mathas. 2000
168 citations recorded by the source corpus.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/94070bb7e6da9c2dbdf930d9d7da0b65a1f01d56
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In Discrete Mathematics and Combinatorics
- Andrew Mathas
- S. Ariki
- Monica Vazirani
- Hebing Rui
- Alexander S. Kleshchev
- Meinolf Geck
- S. Koenig
- Jonathan Brundan
In Geometry and Topology
- Andrew Mathas
- S. Ariki
- Hebing Rui
- Alexander S. Kleshchev
- Monica Vazirani
- Meinolf Geck
- S. Koenig
- Jonathan Brundan
In Mathematical Physics
- Monica Vazirani
- Meinolf Geck
- Hebing Rui
- Andrew Mathas
- S. Koenig
- S. Ariki
- Changchang Xi
- Alexander S. Kleshchev
Citations in the corpus
- Graded Specht modules (2009, unknown): “The following is a graded version of the branching rule for the Specht modules obtained in [4], Proposition 1.”
- Cyclotomic Nazarov-Wenzl Algebras (2005, methodology): “We remark that the irreducible representations of the Ariki-Koike algebras are indexed by the u–Kleshchev multipartitions; see [Ari01, AM00 ].”
- Morita equivalences of Ariki–Koike algebras (2000, background): “Corollary 1.2 explains the reduction of [ 6 ]b y showing that it comes from a Morita equivalence.”
- Affine cellular algebras (2012, background): “The general case later on has been settled in a completely different way by Ariki and Mathas [1], who worked with cyclotomic Hecke algebras, that is, with a certain infinite family of finite dimensional quotient algebras.”
- Parameterizing Hecke Algebra Modules: Bernstein-Zelevinsky Multisegments, Kleshchev Multipartitions, and Crystal Graphs (2001, result): “There are related results in the literature in [A2, AM , G2].”
- On the representation theory of Iwahori-Hecke algebras of extended finite Weyl groups (2000, background): “Thus, it is possible to obtain a description of the set B via a description of the set 0 and the bijection 0 $B . Using the deep results of Ariki [1] and Ariki and Mathas [ 2 ], it is known that a pair of partitions (; ) belongs to 0 if and only if (; ) is a Kleshchev bipartition (see the denition i”