Involutions in $S_n$ and associated coadjoint orbits

Details Involutions in $S_n$ and associated coadjoint orbits Involutions in $S_n$ and associated coadjoint orbits

2008-01-19

arxiv.org/abs/0801.3022v1

Zapiski POMI, 2007, Vol. 349, P.150-173

Mathematics

Representation Theory

20 pages

Scientific paper

In the paper we study the coadjoint orbits of the group $\mathrm{UT}(n,K)$
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.

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