Mathematical Sciences Classification System

22-XX - Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX}

  • 22-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 22-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 22-02
    Research exposition (monographs, survey articles)
  • 22-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 22-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 22-06
    Proceedings, conferences, collections, etc.
  • Topological and differentiable algebraic systems
    {For topological rings and fields, see 12Jxx, 13Jxx, 16W80}
  • Locally compact abelian groups (LCA groups)
  • Compact groups
  • Locally compact groups and their algebras
  • Lie groups
    {For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90}
  • Noncompact transformation groups

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