A comment on the reality classification of space group representations
- 1 August 1973
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical, Nuclear and General
- Vol. 6 (8) , 1115-1118
- https://doi.org/10.1088/0305-4470/6/8/007
Abstract
A connection between the reality type of a group representation, and the symmetrized and antisymmetrized squares of that representation is noted. The correspondence leads to a simple reality test for space group representations. A detailed analysis reproduces the Herring test.Keywords
This publication has 4 references indexed in Scilit:
- A Simple Alternative to Double GroupsAmerican Journal of Physics, 1970
- Kronecker Products and Symmetrized Squares of Irreducible Representations of Space GroupsJournal of Mathematical Physics, 1970
- Symmetric and Anti Symmetric Kronecker Squares and Intertwining Numbers of Induced Representations of Finite GroupsAmerican Journal of Mathematics, 1953
- Effect of Time-Reversal Symmetry on Energy Bands of CrystalsPhysical Review B, 1937