Product formulas for the cyclotomic v-Schur algebra and for the canonical bases of the Fock space

Details Product formulas for the cyclotomic v-Schur algebra and for the canonical bases of the Fock space Product formulas for the cyclotomic v-Schur algebra and for the canonical bases of the Fock space

2007-12-03

arxiv.org/abs/0712.0231v1

Mathematics

Representation Theory

24 pages

Scientific paper

In our earlier work, we have proved a product formula for certain decomposition numbers of the cyclotomic v-Schur algebra associated to the Ariki-Koike algebra. It is conjectured by Yvonne that the decomposition numbers of this algebra can be described in terms of the canonical basis of the higher level Fock space studied by Uglov. In this paper we prove a product formula related to the canonical basis of the Fock space. In view of Yvonne's conjecture, this formula is regarded as a counter-part for the Fock space of our previous formula.

Affiliated with

Also associated with

No associations

Rating

Product formulas for the cyclotomic v-Schur algebra and for the canonical bases of the Fock space 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 Product formulas for the cyclotomic v-Schur algebra and for the canonical bases of the Fock space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Product formulas for the cyclotomic v-Schur algebra and for the canonical bases of the Fock space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-50592