On a method of constructing irreducible multiplier representations

Sahni, V. C. ; Venkataraman, G. (1970) On a method of constructing irreducible multiplier representations Zeitschrift für Physik B: Condensed Matter, 11 (3). pp. 199-211. ISSN 0722-3277

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Related URL: http://dx.doi.org/10.1007/BF02422638


A systematic method is presented for constructing the irreducible multiplier representations (ray representations) of a class of finite groups corresponding to a given factor system. The method consists in first identifying a normal subgroup of prime index, classifying its irreducible multiplier representations into orbits and then inducing the required representations from these orbits. The proposed technique finds useful application in solid state physics where irreducible multiplier representations of the point group underlying the group of the wave vector are frequently required.

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