Covariant symmetric non-associative algebras on group representations

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1964-1989/P_89_73/P_89_73.pdf

Michel, Louis

MICHEL

10/1989

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

REPRESENTATIONS DE GROUPES

P/89/73

©IHES

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MICHEL, “Covariant symmetric non-associative algebras on group representations,” Archives de l'IHES, consulté le 13 septembre 2024, https://omeka.ihes.fr/document/P_89_73.pdf.