English

The genesis of involutions (polarizations and lattice paths)

Combinatorics 2018-03-08 v2 Algebraic Geometry

Abstract

The number of Borel orbits in polarizations (the symmetric variety SL(n)/S(GL(p)×GL(q))SL(n)/S(GL(p)\times GL(q))) is analyzed, various (bivariate) generating functions are found. Relations to lattice path combinatorics are explored.

Keywords

Cite

@article{arxiv.1703.09881,
  title  = {The genesis of involutions (polarizations and lattice paths)},
  author = {Mahir Bilen Can and Özlem Uğurlu},
  journal= {arXiv preprint arXiv:1703.09881},
  year   = {2018}
}

Comments

Exposition is improved (numerous errors are fixed, new remarks and figures are added)