English

Involutions in $S_n$ and associated coadjoint orbits

Representation Theory 2008-01-22 v1 Symplectic Geometry

Abstract

In the paper we study the coadjoint orbits of the group UT(n,K)\mathrm{UT}(n,K) associated with involutions. We obtain a formula for dimension of the orbit. We construct a polarization for the canonical element of orbit. We find a system of generators in the defining ideal of orbit.

Keywords

Cite

@article{arxiv.0801.3022,
  title  = {Involutions in $S_n$ and associated coadjoint orbits},
  author = {A. N. Panov},
  journal= {arXiv preprint arXiv:0801.3022},
  year   = {2008}
}

Comments

20 pages

R2 v1 2026-06-21T10:04:32.940Z