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
The Structure of unitary representations of space groups
GROUPES SPATIAUX
REPRESENTATIONS DE GROUPES
CRISTALLOGRAPHIE
Lecture given by L. Michel at the XI-th International colloquium on Group Theoretical Methods in Physics at Istanbul, August 1982
Abstract : For systems with a symmetry group G, the description of physical phenomena corresponding to a representation of G, depends only on the image of this representation.The classification of the images of the unirreps (unitary irreductible representations) of the little space groups Gk is remarkably simple. The nearly four thousands inequivalent unirreps corresponding to high symmetry wave vectors k have only 37 inequivalent images.
MICHEL
MOZRZYMAS
P/82/54
IHES
10/1982
A4
7 f.
EN
TEXTE
PREPUBLICATION
P_82_54.pdf
1982