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 irreducible 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.
This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
F.Seitz, Z.Kristallogr. Kristalgeom. 88 (1934) 433, 90 (1935) 289, 91 (1935) 336, 94 (1930) 100.
L.P.Bouckaert, R.Schmoluchowski, E.P.Wigner, Phys.Rev. 50 (1936) 58.
F.Seitz, Ann.Math. 37 (1936) 17.
C.Herring, J.Franklin Institute 233 (1942), 525.
D.K.Faddeyev, Tables of the principal unitary representations of the Fedorov groups Acad.Sci. USSR, Translation Pergamon, New York, 1946.
O.V.Kovalev, Irreducible representation of space groups, Izd.Akad. Nauk. Ukraine hoj USSR, translation-Gordon Breach, New York, 1965.
S.C.Miller, W.F.Love, Irreducible representations of space groups. Pruett, Boulder Colorado 1967.
J.Zak, P.Casher, M.Gluck, Y.G.Gur, The irreducible represenations of space groups, Benjamin, New York 1969.
C.J.Bradley, A.P.Cracknell, The mathematical theory of symmetry in solids, Clarendon Press, Oxford 1972.
A.P.Cracknell, B.L.Davies, S.C.Miller, W.F.Love, General introduction and Tables of irreducible representations of space groups, Plenum Press, London 1979.
L.Michel, J.Mozrymas, Match 10 (1981) 223.
R.Dirl, These Proceedings.
L.D.Landau, Phys.Z.Soviet 11 (1937) 26, 545.
L.D.Landau, E.M.Lifschitz, Statistical Physics, translation Pergamon Oxford 1965.
A.H.Clifford, Ann.Math. 38 (1937) 533.
L.Michel, J.Mozrymas, B.Stawski, Lecture Notes Phys. 94 (1979) 86, Springer 1979.
H.S.M.Coxeter, W.O.J.Moser, Generators and Relations for discrete groups, Springer (1957).
D.Hilbert, Math.Ann. 36 (1890) 473.
M.Jaric, L.Michel, R.T.Sharp, These Proceedings p. and to appear.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1983 Springer-Verlag
About this paper
Cite this paper
Michel, L., Mozrymas, J. (1983). The structure of space — Groups'unitary representations. In: Serdaroğlu, M., Ínönü, E. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12291-5_38
Download citation
DOI: https://doi.org/10.1007/3-540-12291-5_38
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12291-3
Online ISBN: 978-3-540-39621-5
eBook Packages: Springer Book Archive