The genesis of involutions (polarizations and lattice paths)

Abstract

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 are explored.

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

Cited by in corpus (1)

• Counting Borel Orbits in Symmetric Varieties of Types $BI$ and $CII$