English

Alg\`ebres de Jordan et th\'eorie des invariants

Rings and Algebras 2011-03-15 v2 Representation Theory

Abstract

If V is a simple complex euclidean Jordan algebra and G the subgroup of GL(V) fixing the determinant of V, we give a unified description of the invariant algebras C[pV]^G, for p not greater than three.

Keywords

Cite

@article{arxiv.0906.5525,
  title  = {Alg\`ebres de Jordan et th\'eorie des invariants},
  author = {Bruno Blind},
  journal= {arXiv preprint arXiv:0906.5525},
  year   = {2011}
}

Comments

Des d\'emonstrations on \'et\'e compl\'et\'ees. La bibliographie a \'et\'e revue. Cette version n'est pas identique \`a celle publi\'ee sous le m\^eme nom