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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.)
• 57
  22-01
  Instructional exposition (textbooks, tutorial papers, etc.)
• 2
  22-02
  Research exposition (monographs, survey articles)
• 14
  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)
• 72
  22-06
  Proceedings, conferences, collections, etc.
• 7
  (+18)
  22Axx
  Topological and differentiable algebraic systems
  {For topological rings and fields, see 12Jxx, 13Jxx, 16W80}
• 5
  22Bxx
  Locally compact abelian groups (LCA groups)
• 4
  (+8)
  22Cxx
  Compact groups
• 19
  (+23)
  22Dxx
  Locally compact groups and their algebras
• 170
  (+125)
  22Exx
  Lie groups
  {For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90}
• 5
  (+7)
  22Fxx
  Noncompact transformation groups