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  Encyclopedia of Keywords > Matrix Group > Classical Lie Groups   Michael Charnine

Keywords and Sections
NOTATION
LIE GROUPS
 EXCEPTIONAL LIE GROUPS
ISOMETRY GROUPS
 CLASSICAL LIE GROUPS
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  1. The classical Lie groups are four infinite families of Lie groups closely related to the symmetries of Euclidean spaces.

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  1. Often one will see the notation S U p, q without reference to a ring, in this case the ring being referred to is C which is one of the classical Lie groups.

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  1. The classical Lie groups are four infinite families of Lie groups closely related to the symmetries of Euclidean spaces.

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  1. Contrasting with the classical Lie groups are the exceptional Lie groups, which share their abstract properties, but not their familiarity.

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  1. The uniting feature of classical Lie groups is that they are close to the isometry groups of a certain bilinear or sesquilinear forms.

Classical Lie Groups Move Up Add phrase and link

  1. When the ring of coefficients of the matrix group is the real number or complex number field, these groups are just certain of the classical Lie groups.
  2. In low dimensions, there are isomorphisms among the classical Lie groups called accidental isomorphisms. Move Up
  3. Accidental isomorphisms In low dimensions, there are isomorphism s among the classical Lie groups called accidental isomorphism s. Move Up

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  1. Matrix Group
  2. Exceptional Lie Groups Move Up
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  4. Isometry Groups Move Up
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  6. Books about "Classical Lie Groups" in Amazon.com

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  Originally created: April 04, 2011.
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