81Rxx Groups and algebras in quantum theory
 81R05 Finitedimensional groups and algebras motivated by physics and their representations [See also 20C35, 22E70]
 81R10 Infinitedimensional groups and algebras motivated by physics, including Virasoro, KacMoody, Walgebras and other current algebras and their representations [See also 17B65, 17B67, 22E65, 22E67, 22E70]
 81R12 Relations with integrable systems [See also 17Bxx, 37J35]

81R15 Operator algebra methods [See also 46Lxx, 81T05]
(4)
 81R20 Covariant wave equations
 81R25 Spinor and twistor methods [See also 32L25]
 81R30 Coherent states [See also 22E45]; squeezed states [See also 81V80]
 81R40 Symmetry breaking
 81R50 Quantum groups and related algebraic methods [See also 16T20, 17B37]
 81R60 Noncommutative geometry
 81R99 None of the above, but in this section