Comments on the paper: “Active representations of space groups based on the simple cubic lattice” by H. Kunert and M. Suffczyński. (English) Zbl 0599.22020
It is pointed out that there are several errors and omissions in the above paper of H. Kunert and M. Suffczyński [ibid. 114, 572–579 (1982; Zbl 0511.22016)]. In particular, an incorrect formula is given to determine if the unit representation of a space group is contained in the totally symmetrized cube of a space group irreducible representation.
MSC:
| 22E70 | Applications of Lie groups to the sciences; explicit representations |
| 81R10 | Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations |
Citations:
Zbl 0511.22016References:
| [1] | Kunert, H.; Suffczyński, M., Physica, 114A, 572 (1982) · Zbl 0511.22016 |
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| [12] | Davies, B. L.; Cracknell, A. P., Symmetrized Fourth Powers of Irreducible Representations of Space Groups, (British Library Supplementary Publications Scheme, No. SUP 90047 (1980), British Library, Lending Division: British Library, Lending Division Boston Spa, Wetherby, Yorkshire LS23 7BQ, England) · Zbl 0364.22012 |
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