The genesis of involutions (polarizations and lattice paths)
classification
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latticepolarizationsanalyzedbivariateborelcombinatoricsexploredfound
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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.
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