The kei word metric on the transvection group and its unit ball
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913175838916608 |
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| author | Frauenfelder, Urs Zhao, Lei |
| author_facet | Frauenfelder, Urs Zhao, Lei |
| contents | We define a bi-invariant word metric on a group using keis. We discuss whether such a word metric is trivial or non-trivial in various examples coming from group theory, dynamical systems, as well as complex and symplectic geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_00693 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The kei word metric on the transvection group and its unit ball Frauenfelder, Urs Zhao, Lei Symplectic Geometry Dynamical Systems We define a bi-invariant word metric on a group using keis. We discuss whether such a word metric is trivial or non-trivial in various examples coming from group theory, dynamical systems, as well as complex and symplectic geometry. |
| title | The kei word metric on the transvection group and its unit ball |
| topic | Symplectic Geometry Dynamical Systems |
| url | https://arxiv.org/abs/2606.00693 |