TL;DR
This paper proves that bi-invariant word metrics are bounded on specific Chevalley groups and explores implications for Hamiltonian group actions.
Contribution
It establishes boundedness of bi-invariant word metrics on Chevalley groups and derives restrictions on their Hamiltonian actions.
Findings
Bi-invariant word metrics are bounded on certain Chevalley groups.
Restrictions are identified for Hamiltonian actions of these groups.
Provides new insights into the structure and symmetries of Chevalley groups.
Abstract
We prove that bi-invariant word metrics are bounded on certain Chevalley groups. As an application we provide restrictions on Hamiltonian actions of such groups.
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