Semigroup theory of symmetry
| Autor: | Thomas E. Nordahl, Vladimir R. Rosenfeld |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
Symmetry operation Semigroup Applied Mathematics 010102 general mathematics Rotational symmetry 0102 computer and information sciences General Chemistry Symmetry group Tetrahedral symmetry 01 natural sciences One-dimensional symmetry group Algebra 010201 computation theory & mathematics Bicyclic semigroup 0101 mathematics Symmetry (geometry) Mathematics |
| Zdroj: | Journal of Mathematical Chemistry. 54:1758-1776 |
| ISSN: | 1572-8897 0259-9791 |
| DOI: | 10.1007/s10910-016-0653-4 |
| Popis: | Symmetry is one of the most fundamental concepts of all nature. We discuss the general theory of symmetry based on theory of semigroups. This includes and extends the theory of groups, which is by now broadly used as an algebraic tool for studying many types of symmetries observed by people. However, symmetry groups are only a particular case of more general, symmetry semigroups. The latter are in turn an instance of an even more general groupoids of symmetry, which may further be a topic of special consideration. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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