The genesis of involutions (polarizations and lattice paths)

• DOI: 10.48550/arxiv.1703.09881
• Publication Date: 2017-01-01
• Authors: Mahir Bilen Can; Özlem Uğurlu
• Keywords: Lattice (music)

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