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Topic: Crystallographic restriction theorem


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In the News (Tue 14 Feb 12)

  
  Symmetry and Symmetry Breaking
This is known as the “crystallographic notion of symmetry”, since it was in the context of early developments in crystallography that symmetry was first so defined and applied.
The discrete symmetries C, P and T are connected by the so-called CPT theorem, demonstrated by Lüders in 1952, which states that the combination of C, P, and T is a general symmetry of physical laws.
The requirement of invariance with respect to a transformation group imposes severe restrictions on the form that a theory may take, limiting the types of quantities that may appear in the theory as well as the form of its fundamental equations.
plato.stanford.edu /entries/symmetry-breaking   (9818 words)

  
 Encyclopedia :: encyclopedia : List of theorems   (Site not responding. Last check: 2007-09-08)
Atiyah-Singer index theorem (elliptic differential operators, harmonic analysis)
Haboush's theorem (algebraic groups, representation theory, invariant theory)
Stone's representation theorem for Boolean algebras (mathematical logic)
www.hallencyclopedia.com /List_of_theorems   (168 words)

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