Partial Jucys-Murphy elements and star factorizations

Details Partial Jucys-Murphy elements and star factorizations Partial Jucys-Murphy elements and star factorizations

2009-04-30

arxiv.org/abs/0904.4854v1

Mathematics

Combinatorics

12 pages

Scientific paper

In this paper, we look at the number of factorizations of a given permutation into star transpositions. In particular, we give a natural explanation of a hidden symmetry, answering a question of I.P. Goulden and D.M. Jackson. We also have a new proof of their explicit formula. Another result is the normalized class expansion of some central elements of the symmetric group algebra introduced by P. Biane. To obtain this results, we use natural analogs of Jucys-Murphy elements in the algebra of partial permutations of V. Ivanov and S. Kerov. We investigate their properties and use a formula of A. Lascoux and J.Y. Thibon to give the expansion of their power sums on the natural basis of the invariant subalgebra.

Affiliated with

Also associated with

No associations

Rating

Partial Jucys-Murphy elements and star factorizations 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 Partial Jucys-Murphy elements and star factorizations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Partial Jucys-Murphy elements and star factorizations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-443705