Representation theory of the 0-Ariki-Koike-Shoji algebras

Details Representation theory of the 0-Ariki-Koike-Shoji algebras Representation theory of the 0-Ariki-Koike-Shoji algebras

2004-07-13

arxiv.org/abs/math/0407218v1

Mathematics

Combinatorics

12 pages; LaTEX

Scientific paper

We investigate the representation theory of certain specializations of the Ariki-Koike algebras, obtained by setting $q=0$ in a suitably normalized version of Shoji's presentation. We classify the simple and projective modules, and describe restrictions, induction products, Cartan invariants and decomposition matrices. This allows us to identify the Grothendieck rings of the towers of algebras in terms of certain graded Hopf algebras known as the Mantaci-Reutenauer descent algebras, and Poirier Quasi-symmetric functions.

Affiliated with

Also associated with

No associations

Rating

Representation theory of the 0-Ariki-Koike-Shoji algebras 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 Representation theory of the 0-Ariki-Koike-Shoji algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Representation theory of the 0-Ariki-Koike-Shoji algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-141245