Reflexive Bimodules
Canadian journal of mathematics, Tome 41 (1989) no. 4, pp. 592-611

Voir la notice de l'article provenant de la source Cambridge University Press

If VK is a finite dimensional vector space over a field K and L is a lattice of subspaces of V, then, following Halmos [11], alg L is defined to be (the K-algebra of) all K-endomorphisms of V which leave every subspace in L invariant. If R ⊆ end(VK) is any subalgebra we define lat R to be (the sublattice of) all subspaces of V K which are invariant under every transformation in R. Then R ⊆alg [lat R] and R is called a reflexive algebra when this is equality. Every finite dimensional algebra is isomorphic to a reflexive one ([4]) and these reflexive algebras have been studied by Azoff [1], Barker and Conklin [3] and Habibi and Gustafson [9] among others.
Fuller, K. R.; Nicholson, W. K.; Watters, J. F. Reflexive Bimodules. Canadian journal of mathematics, Tome 41 (1989) no. 4, pp. 592-611. doi: 10.4153/CJM-1989-026-x
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