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arXiv · 1109.5487

Representatives of elliptic Weyl group elements in algebraic groups

Matthew C. B. Zaremsky
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Abstract

An element w of a Weyl group W is called elliptic if it has no eigenvalue 1 in the standard reflection representation. We determine the order of any representative g in a semisimple algebraic group G of an elliptic element w in the corresponding Weyl group W. In particular if w has order d and G is simple of type different from C_n or F_4, then g has order d in G.

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Matthew C. B. Zaremsky. 2011-09-26. Representatives of elliptic Weyl group elements in algebraic groups. https://arxiv.org/abs/1109.5487

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