On the S_n-module structure of the noncommutative harmonics

Details On the S_n-module structure of the noncommutative harmonics On the S_n-module structure of the noncommutative harmonics

2007-04-09

arxiv.org/abs/0704.1101v2

Journal of Combinatorial Theory, Series A, Volume 115, Issue 6, August 2008, pages 1077-1085.

Mathematics

Combinatorics

13 pages. Expanded version of a paper to appear in "Journal of Combinatorial Theory, series A" (http://www.elsevier.com/locate

Scientific paper

10.1016/j.jcta.2007.10.005

Using a noncommutative analog of Chevalley's decomposition of polynomials into symmetric polynomials times coinvariants due to Bergeron, Reutenauer, Rosas, and Zabrocki we compute the graded Frobenius series for their two sets of noncommutative harmonics with respect to the left action of the symmetric group (acting on variables). We use these results to derive the Frobenius series for the enveloping algebra of the derived free Lie algebra in n variables.

Affiliated with

Also associated with

No associations

Rating

On the S_n-module structure of the noncommutative harmonics 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 the S_n-module structure of the noncommutative harmonics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the S_n-module structure of the noncommutative harmonics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-387554