Kronecker products of projective representations of translation groups
Florek, Wojciech
arXiv, 9709251 / Harvested from arXiv
Text on arXiv
Projective irreps of (Z_N)^2 can be labelled by divisors n of N. A product of two irreps, labelled by n and n', can be decomposed into projective irreps labelled by M, where M strongly depends on the arithmetic structure of N, n, n' and their relations (gcd, lcm etc.). Such decompostion describes two important physical effects: (i) changes of a magnetic period of the crystal lattice (with unchaged crystal period N); (2) each representation can be related with a charged particle moving in an external magnetic field and a periodic potential --- a product of (projective) irreps corresponds to interaction of particles with charges Q and Q', respectively, and the decomposition corresponds to a particle with the charg Q''=Q+Q'.
Publié le : 1997-09-23
Classification:  Condensed Matter - Mesoscale and Nanoscale Physics,  Mathematical Physics,  Quantum Physics 
@article{9709251,
     author = {Florek, Wojciech},
     title = {Kronecker products of projective representations of translation groups},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9709251}
}

Florek, Wojciech. Kronecker products of projective representations of translation groups. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9709251/