An estimate of canonical dimension of groups based on Schubert calculus
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866915182407581696 |
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| author | Devyatov, Rostislav |
| author_facet | Devyatov, Rostislav |
| contents | We sketch the proof of a connection between the canonical (0-)dimension of semisimple split simply connected groups and cohomology of their full flag varieties. Using this connection, we get a new estimate of the canonical (0-)dimension of simply connected split exceptional groups of type $E$ understood as a group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_00950 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | An estimate of canonical dimension of groups based on Schubert calculus Devyatov, Rostislav Algebraic Geometry Group Theory Representation Theory 20G15, 14M15 (Primary), 20G41, 14N15, 14L30, 14C17 (Secondary) We sketch the proof of a connection between the canonical (0-)dimension of semisimple split simply connected groups and cohomology of their full flag varieties. Using this connection, we get a new estimate of the canonical (0-)dimension of simply connected split exceptional groups of type $E$ understood as a group. |
| title | An estimate of canonical dimension of groups based on Schubert calculus |
| topic | Algebraic Geometry Group Theory Representation Theory 20G15, 14M15 (Primary), 20G41, 14N15, 14L30, 14C17 (Secondary) |
| url | https://arxiv.org/abs/2011.00950 |