Polynomials for symmetric orbit closures in the flag variety
| Autor: | Wyser, Benjamin J., Yong, Alexander |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Transformation Groups, Volume 22 (2017), Issue 1, pp 267-290 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00031-016-9381-x |
| Popis: | In [Wyser-Yong '13] we introduced polynomial representatives of cohomology classes of orbit closures in the flag variety, for the symmetric pair $(GL_{p+q}, GL_p \times GL_q)$. We present analogous results for the remaining symmetric pairs of the form $(GL_n,K)$, i.e., $(GL_n,O_n)$ and $(GL_{2n},Sp_{2n})$. 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 extensions to equivariant $K$-theory. Comment: 22 pages, 3 figures, 5 tables. Results from V1 have been extended significantly |
| Databáze: | arXiv |
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