On some analogues of Carlitz's identity for the hyperoctahedral group

Details On some analogues of Carlitz's identity for the hyperoctahedral group On some analogues of Carlitz's identity for the hyperoctahedral group

2009-09-22

arxiv.org/abs/0909.3961v1

Mathematics

Combinatorics

13 pages

Scientific paper

We give a new description of the flag major index, introduced by Adin and Roichman, by using a major index defined by Reiner. This allows us to establish a connection between an identity of Reiner and some more recent results due to Chow and Gessel. Furthermore we generalize the main identity of Chow and Gessel by computing the four-variate generating series of descents, major index, length, and number of negative entries over Coxeter groups of type $B$ and $D$.

Affiliated with

Also associated with

No associations

Rating

On some analogues of Carlitz's identity for the hyperoctahedral group 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 On some analogues of Carlitz's identity for the hyperoctahedral group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On some analogues of Carlitz's identity for the hyperoctahedral group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-300702