Affine symmetry groups in 2D-quasicrystals
β Scribed by B. A. Dolgikh
- Publisher
- Springer US
- Year
- 2008
- Tongue
- English
- Weight
- 101 KB
- Volume
- 154
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
## Abstract The imposition of symmetry in electronic structure calculations can be plagued by artifactual symmetryβbreaking in orbital or configuration amplitudes. While most __ab initio__ computer code is wellβdeveloped to impose symmetry constraints in __D__~2h~ and its subgroups, the problem is
If s E S is not special, it is still true that Q n Y, is non-empty; however, it may be a union of several left cells. ## 2. NOTATION AND RECOLLECTIONS 2.1. We refer to [l] for the definition of the basis (C,) of the Hecke algebra of ( W, S) and of the relation y< w on W. We shall write y -w instea
We determine the lowest generalized two-sided cell for affine Weyl groups. We < < show that it consists of at most W generalized left cells, where W denotes the 0 0 corresponding finite Weyl group. For parameters coming from graph automorphisms, we prove that this bound is exact. For such parameters