Factorization of the canonical bases for higher level Fock spaces

Details Factorization of the canonical bases for higher level Fock spaces Factorization of the canonical bases for higher level Fock spaces

2009-09-16

arxiv.org/abs/0909.2954v4

Proceedings of the Edinburgh Mathematical Society 55 (2012) 23-51

Mathematics

Representation Theory

The last version generalizes and proves the main conjecture of the previous one. Final version

Scientific paper

10.1017/S0013091510000519

The level l Fock space admits canonical bases G_e and G_\infty. They correspond to U_{v}(hat{sl}_{e}) and U_{v}(sl_{\infty})-module structures. We establish that the transition matrices relating these two bases are unitriangular with coefficients in N[v]. Restriction to the highest weight modules generated by the empty l-partition then gives a natural quantization of a theorem by Geck and Rouquier on the factorization of decomposition matrices which are associated to Ariki-Koike algebras.

Affiliated with

Also associated with

No associations

Rating

Factorization of the canonical bases for higher level Fock spaces 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 Factorization of the canonical bases for higher level Fock spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Factorization of the canonical bases for higher level Fock spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-582496