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Mathematical Sciences Classification System

81Rxx - Groups and algebras in quantum theory

• 6
  81R05
  Finite-dimensional groups and algebras motivated by physics and their representations [See also 20C35, 22E70]
• 6
  81R10
  Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, W-algebras and other current algebras and their representations [See also 17B65, 17B67, 22E65, 22E67, 22E70]
• 2
  81R12
  Relations with integrable systems [See also 17Bxx, 37J35]
• 4
  81R15
  Operator algebra methods [See also 46Lxx, 81T05]
• 81R20
  Covariant wave equations
• 7
  81R25
  Spinor and twistor methods [See also 32L25]
• 2
  81R30
  Coherent states [See also 22E45]; squeezed states [See also 81V80]
• 3
  81R40
  Symmetry breaking
• 23
  81R50
  Quantum groups and related algebraic methods [See also 16T20, 17B37]
• 12
  81R60
  Noncommutative geometry
• 81R99
  None of the above, but in this section