Bilbao Crystallography Server swMATH ID: 21493 Software Authors: Aroyo, Mois I.; Kirov, Asen; Capillas, Cesar; Perez-Mato, J.M.; Wondratschek, Hans Description: Bilbao crystallographic server. II: Representations of crystallographic point groups and space groups. The Bilbao Crystallographic Server is a web site with crystallographic programs and databases freely available on-line (http://www.cryst.ehu.es). The server gives access to general information related to crystallographic symmetry groups (generators, general and special positions, maximal subgroups, Brillouin zones etc·). Apart from the simple tools for retrieving the stored data, there are programs for the analysis of group–subgroup relations between space groups (subgroups and supergroups, Wyckoff-position splitting schemes etc·). There are also software packages studying specific problems of solid-state physics, structural chemistry and crystallography. This article reports on the programs treating representations of point and space groups. There are tools for the construction of irreducible representations, for the study of the correlations between representations of group–subgroup pairs of space groups and for the decompositions of Kronecker products of representations. Homepage: http://www.cryst.ehu.es/ Keywords: Bilbao crystallographic server; point and space groups; representations of crystallographic groups Related Software: ISOTROPY; OEIS; VASP; ABINIT; Quantum Espresso; WIEN2k; Spglib; Mathematica; SpaceGroupIrep; Qhull; GitHub; pymatgen; Julia; navierstokes; INTLAB; RELION; ClusterES; Chimera; EMan; DLMF Cited in: 12 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Bilbao crystallographic server. II: Representations of crystallographic point groups and space groups. Zbl 1370.82009Aroyo, Mois I.; Kirov, Asen; Capillas, Cesar; Perez-Mato, J. M.; Wondratschek, Hans 2006 all top 5 Cited by 26 Authors 3 Chelnokov, Grigory R. 3 Mednykh, Aleksandr Dmitrievich 2 Aroyo, Mois Ilia 2 Perez-Mato, J. Manuel 2 Ros, Antonio 2 Wondratschek, Hans 1 Capillas, Cesar 1 Christensen, John E. 1 de la Flor, Gemma 1 Deryagina, M. A. 1 Doerschuk, Peter C. 1 Grimmer, Hans 1 Güdükbay, Uǧur 1 Gülseren, Oğuz 1 Hart, Gus L. W. 1 Hauswirth, Laurent 1 Jarvis, Tyler J. 1 Jorgensen, Jeremy J. 1 Kirov, Asen 1 Okuyan, Erhan 1 Orobengoa, Danel 1 Pérez Muñoz, Joaquín 1 Romon, Pascal 1 Tasci, Emre S. 1 van den Berg, Jan Bouwe 1 Xu, Nan all top 5 Cited in 10 Serials 3 Acta Crystallographica. Section A 1 Communications in Algebra 1 Computer Physics Communications 1 Journal of Algebra 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Physica D 1 Journal of the American Mathematical Society 1 SIAM Journal on Scientific Computing 1 Communications in Computational Physics all top 5 Cited in 13 Fields 7 Group theory and generalizations (20-XX) 5 Manifolds and cell complexes (57-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Algebraic topology (55-XX) 3 Computer science (68-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX) Citations by Year