Covariant symmetric non-associative algebras on group representations
REPRESENTATIONS DE GROUPES
ALGEBRES NON ASSOCIATIVES
ANALYSE DE COVARIANCE
Abstract : When the vector space ? carries a representation p of the group G, if the decomposition of the symmetrized tensor product representation contains p, there exists a symmetrical non-associative algebra on ? with G a group of automorphisms. We give explicitly for dimension 2 (two maximal algebras). We also give several examples of th use of these algebras in physics and in mathematics.
This paper will appear in part two of Symmetry in Nature, a volume in honour of Luigi Radicati di Brozolo, Sculoa Normale Superiore, Pisa, 1989
MICHEL
P/89/73
IHES
10/1989
A4
9 f.
EN
TEXTE
PREPUBLICATION
P_89_73.pdf
1989