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Spectral properties of elements of normed algebras and invariant subspaces

✍ Scribed by Yu. V. Turovskii


Publisher
Springer US
Year
1984
Tongue
English
Weight
246 KB
Volume
18
Category
Article
ISSN
0016-2663

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Kummer Elements and the mod-3 Invariant
✍ Maneesh Thakur πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 72 KB

Let k be a field with characteristic not 2 and 3. Assume that k contains the cube roots of unity. Let J be a Tits'-first-construction Albert division algebra over k. In this paper we relate Kummer elements in J with the mod-3 invariant g 3 J . We prove that if x ∈ J is a Kummer element with x 3 = λ,