The genesis of involutions (Polarizations and lattice paths)
Copyright policy )The genesis of involutions (Polarizations and lattice paths)
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)
- Tulane University United States
- TULANE UNIVERSITY
- Tulane University
- Palm Beach State College United States
- TULANE UNIVERSITY
\(t\)-analogs, Exact enumeration problems, generating functions, Borel group orbits, polarizations, signed involutions, Combinatorial aspects of groups and algebras, lattice paths, Mathematics - Algebraic Geometry, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Algebraic Geometry (math.AG)
\(t\)-analogs, Exact enumeration problems, generating functions, Borel group orbits, polarizations, signed involutions, Combinatorial aspects of groups and algebras, lattice paths, Mathematics - Algebraic Geometry, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Algebraic Geometry (math.AG)
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