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math.CO2011
Ordered Bell numbers, Hermite polynomials, Skew Young Tableaux, and Borel orbits
Mahir Bilen Can, Michael Joyce
We give three interpretations of the number of orbits of the Borel subgroup of upper triangular matrices on the variety $\ms{X}$ of complete quadrics. First, we show that i…
math.AG2011
SL(2)-regular Subvarieties of Complete Quadrics
Mahir Bilen Can, Michael Joyce
We determine SL(n)-stable, SL(2)-regular subvarieties of the variety of complete quadrics. We extend the results of Akyıldız and Carrell on Kostant-Macdonald identity by computing…