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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

3 votes
1 answer
69 views

Action of Coxeter element on mod $2$ root lattice is semisimple

Let $\Lambda$ be a simply laced root lattice and $w$ a Coxeter element of the Weyl group of $\Lambda$. Question: Is it true that the action of $w$ on the $\mathbb{F}_2$-vector space $\Lambda/2\Lambda$ …
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