The genesis of involutions (polarizations and lattice paths)

2017/03/29 by Can, Mahir Bilen, Uğurlu, Özlem · 1 citation
#Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1703.09881

Abstract

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

Cited by

• Matchings in Corona graph and classical symmetric varieties

Related

• Counting Borel Orbits in Symmetric Varieties of Types BI and CII
• Orbit counting in polarized dynamical systems
• The degree of symmetry of lattice paths
• Matchings in Corona graph and classical symmetric varieties
• Involutions under Bruhat order and labeled Motzkin Paths