Maximal elements and fixed points for binary relations on topological ordered spaces

Bases for Fixed Points of Unipotent Elem

Bases for Fixed Points of Unipotent Elements Acting on the Tensor Square and the Spaces of Alternating and Symmetric 2-Tensors

✍ Michael J.J. Barry 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 128 KB

If V is a vector space over a field K, then an element g of the general linear group GL V acts on V ⊗ V , on the space of alternating 2-tensors A V , and on the space of symmetric 2-tensors S V . For a unipotent element g, we exhibit bases for the subspace of fixed points of g acting on both V ⊗ V a