Degeneracy locus formulas for amenable Weyl group elements
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866914328530124800 |
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| author | Tamvakis, Harry |
| author_facet | Tamvakis, Harry |
| contents | We define a class of amenable Weyl group elements in the Lie types B, C, and D, which we propose as the analogues of vexillary permutations in these Lie types. Our amenable signed permutations index flagged theta and eta polynomials, which generalize the double theta and eta polynomials of Wilson and the author. In geometry, we obtain corresponding formulas for the cohomology classes of symplectic and orthogonal degeneracy loci. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1909_06398 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Degeneracy locus formulas for amenable Weyl group elements Tamvakis, Harry Algebraic Geometry Combinatorics Representation Theory 14N15 05E05 14M15 We define a class of amenable Weyl group elements in the Lie types B, C, and D, which we propose as the analogues of vexillary permutations in these Lie types. Our amenable signed permutations index flagged theta and eta polynomials, which generalize the double theta and eta polynomials of Wilson and the author. In geometry, we obtain corresponding formulas for the cohomology classes of symplectic and orthogonal degeneracy loci. |
| title | Degeneracy locus formulas for amenable Weyl group elements |
| topic | Algebraic Geometry Combinatorics Representation Theory 14N15 05E05 14M15 |
| url | https://arxiv.org/abs/1909.06398 |