La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Question : CC = 20Gxx
20-XX Group theory and generalizations

• 20Gxx Linear algebraic groups (classical groups) [For arithmetic theory, see 11E57, 11H56; for geometric theory, see 14Lxx, 22Exx; for other methods in representation theory, see 15A30, 22E45, 22E46, 22E47, 22E50, 22E55]
• 20G05 Representation theory
• 20G10 Cohomology theory
• 20G15 Linear algebraic groups over arbitrary fields
• 20G20 Linear algebraic groups over the reals, the complexes, the quaternions
• 20G25 Linear algebraic groups over local fields and their integers
• 20G30 Linear algebraic groups over global fields and their integers
• 20G35 Linear algebraic groups over adèles and other rings and schemes
• 20G40 Linear algebraic groups over finite fields
• 20G42 Quantum groups (quantized function algebras) and their representations [See also 16W35, 17B37, 81R50] [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 16W30, 17B37
• 20G45 Applications to physics
• 20G99 None of the above, but in this section

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