Conjugacy in Permutation Representations of the Symmetric Group

Details Conjugacy in Permutation Representations of the Symmetric Group Conjugacy in Permutation Representations of the Symmetric Group

2004-11-24

arxiv.org/abs/math/0411554v3

Mathematics

Combinatorics

Scientific paper

Although the conjugacy classes of the general linear group are known, it is not obvious (from the canonic form of matrices) that two permutation matrices are similar if and only if they are conjugate as permutations in the symmetric group, i.e. that conjugacy classes of S_n do not unite under the natural representation. We prove this fact, and give its application to the enumeration of fixed points under a natural action of S_n x S_n. We also consider the permutation representations of S_n which arise from the action of S_n on k-tuples, and classify which of them unite conjugacy classes and which do not.

Affiliated with

Also associated with

No associations

Rating

Conjugacy in Permutation Representations of the Symmetric 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 Conjugacy in Permutation Representations of the Symmetric Group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conjugacy in Permutation Representations of the Symmetric Group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-577229