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  • 22-XX Topological groups, Lie groups
  • 22Exx Lie groups
  • 22E50 Representations of Lie and linear algebraic groups over local fields

22Exx Lie groups

  • 22E05 Local Lie groups
  • 22E10 General properties and structure of complex Lie groups
  • 22E15 General properties and structure of real Lie groups
  • 22E20 General properties and structure of other Lie groups
  • 22E25 Nilpotent and solvable Lie groups
  • 22E27 Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.)
  • 22E30 Analysis on real and complex Lie groups
  • 22E35 Analysis on p -adic Lie groups
  • 22E40 Discrete subgroups of Lie groups
  • 22E41 Continuous cohomology
  • 22E43 Structure and representation of the Lorentz group
  • 22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
  • 22E46 Semisimple Lie groups and their representations
  • 22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.)
  • 22E50 Representations of Lie and linear algebraic groups over local fields
  • 22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings
  • 22E57 Geometric Langlands program: representation-theoretic aspects
  • 22E60 Lie algebras of Lie groups
  • 22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties
  • 22E66 Analysis on and representations of infinite-dimensional Lie groups
  • 22E67 Loop groups and related constructions, group-theoretic treatment
  • 22E70 Applications of Lie groups to physics; explicit representations
  • 22E99 None of the above, but in this section
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