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Journal of Lie Theory 21 (2011), No. 1, 123--144
Copyright Heldermann Verlag 2011

Algèbres de Jordan et Théorie des Invariants

Bruno Blind
Institut Elie Cartan, Université H. Poincaré, B.P. 239, 54506 Vandoeuvre-lés-Nancy, France

Let V be a simple complex Jordan algebra of rank three, and denote by G the subgroup of GL(V) fixing the determinant of V. For p not greater than three, we give a unified description of the invariant algebras C[pV]G.

Keywords: Invariant theory, Jordan algebra.

MSC: 13A50, 15A72, 17C99

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