Ariki-Koike Algebras with Semisimple Bottoms

Details Ariki-Koike Algebras with Semisimple Bottoms Ariki-Koike Algebras with Semisimple Bottoms

1999-02-15

arxiv.org/abs/math/9902087v1

Mathematics

Quantum Algebra

20 pages. Math. Zeit. (to appear)

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Ariki-Koike Algebras with Semisimple Bottoms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ariki-Koike Algebras with Semisimple Bottoms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ariki-Koike Algebras with Semisimple Bottoms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-572571