Ordered Bell numbers, Hermite polynomials, Skew Young Tableaux, and Borel orbits

Details Ordered Bell numbers, Hermite polynomials, Skew Young Tableaux, and Borel orbits Ordered Bell numbers, Hermite polynomials, Skew Young Tableaux, and Borel orbits

2011-11-29

arxiv.org/abs/1111.6785v1

Mathematics

Combinatorics

Scientific paper

We compute the number of orbits of the Borel subgroup of upper triangular
matrices on the variety of complete quadrics. We provide a combinatorial
interpretation and give bounds, using the geometry of wonderful embeddings. We
offer conjectures for a q-analog that generalizes the Eulerian polynomial.

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