La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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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.
• 22-99 Topological groups, Lie groups (not classified at a more specific level)
• 22Axx Topological and differentiable algebraic systems [For topological rings and fields, see 12Jxx, 13Jxx, 16W80]
• 22Bxx Locally compact abelian groups (LCA groups)
• 22C05 Compact groups
• 22Dxx Locally compact groups and their algebras
  • 22D05 General properties and structure of locally compact groups
  • 22D10 Unitary representations of locally compact groups
  • 22D12 Other representations of locally compact groups
  • 22D15 Group algebras of locally compact groups
  • 22D20 Representations of group algebras
  • 22D25 C^*-algebras and W*-algebras in relation to group representations [See also 46Lxx]
  • 22D30 Induced representations
  • 22D35 Duality theorems
  • 22D40 Ergodic theory on groups [See also 28Dxx]
  • 22D45 Automorphism groups of locally compact groups
  • 22D99 None of the above, but in this section
• 22Exx Lie groups [For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90]
• 22Fxx Noncompact transformation groups

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