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Lifting smooth curves over invariants for representations of compact Lie groups

✍ Scribed by D. V. Alekseevsky; A. Kriegl; M. Losik; P. W. Michor


Publisher
SP Birkhäuser Verlag Boston
Year
2000
Tongue
English
Weight
491 KB
Volume
5
Category
Article
ISSN
1083-4362

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Quadratic representations for groups of
✍ Timothy Englund 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 427 KB

Suppose K is a field of characteristic two, G is a group of Lie type over K, and V is an irreducible KG-module. By the Steinberg Tensor Product Theorem, V ∼ = i∈I V i , where each V i is an algebraic conjugate of a restricted KG-module. If G contains a quadratically acting fours-group, then |I | 2.