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arXiv · 2606.00693

The kei word metric on the transvection group and its unit ball

Urs Frauenfelder·Lei Zhao
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Abstract

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.

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Urs Frauenfelder, Lei Zhao. 2026-05-30. The kei word metric on the transvection group and its unit ball. https://arxiv.org/abs/2606.00693

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