Ariki-Koike Algebras with Semisimple Bottoms
| dc.creator | Du, Jie | |
| dc.creator | Rui, Hebing | |
| dc.date | 1999-02-15 | |
| dc.date.accessioned | 2026-07-07T05:27:55Z | |
| dc.date.available | 2026-07-07T05:27:55Z | |
| dc.description | We investigated the representation thoery of an Ariki-Koike algebra whose Poincare polynomial associated with the "bottom", i.e., the subgroup on which the symmetric group acts, is non-zero in the base field. We proved that the module category of such an Ariki-Koike algebra is Morita equivalent to the module category of a direct sum of tensor products of Hecke algebras associated with certain symmetric groups. We also generalized this Morita equivalence theorem to give a Morita equivalenve between a $q$-Schur$^m$ algebra and a direct sum of tensor products of certain $q$-Schur algebras. | |
| dc.description | 20 pages. Math. Zeit. (to appear) | |
| dc.identifier | https://arxiv.org/abs/math/9902087 | |
| dc.identifier | http://arxiv.org/abs/math/9902087 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78105 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 20C20, 20C30, 20G05, 16G99 | |
| dc.title | Ariki-Koike Algebras with Semisimple Bottoms | |
| dc.type | text |