POLYNOMIALS FOR SYMMETRIC ORBIT CLOSURES IN THE FLAG VARIETY

@inproceedings{Wyser2017POLYNOMIALSFS,
  title={POLYNOMIALS FOR SYMMETRIC ORBIT CLOSURES IN THE FLAG VARIETY},
  author={Benjamin Joe Wyser and Alexander Ng Tengfat Yong},
  year={2017}
}
In [Wyser-Yong ’13] we introduced polynomial representatives of cohomology classes of orbit closures in the flag variety, for the symmetric pair (GLp+q, GLp×GLq). We present analogous results for the remaining symmetric pairs of the form (GLn,K), i.e., (GLn, On) and (GL2n, Sp2n). We establish the well-definedness of certain representatives from [Wyser ’13]. It is also shown that the representatives have the combinatorial properties of nonnegativity and stability. Moreover, we give some… CONTINUE READING

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