20-XX |
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Group theory and generalizations |
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20Gxx |
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Linear algebraic groups and related topics {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} |
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20G05 |
Representation theory for linear algebraic groups |
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20G07 |
Structure theory for linear algebraic groups |
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20G10 |
Cohomology theory for linear algebraic groups |
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20G15 |
Linear algebraic groups over arbitrary fields |
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20G20 |
Linear algebraic groups over the reals, the complexes, the quaternions |
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20G25 |
Linear algebraic groups over local fields and their integers |
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20G30 |
Linear algebraic groups over global fields and their integers |
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20G35 |
Linear algebraic groups over adèles and other rings and schemes |
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20G40 |
Linear algebraic groups over finite fields |
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20G41 |
Exceptional groups |
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20G42 |
Quantum groups (quantized function algebras) and their representations [See also 16T20, 17B37, 81R50] |
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20G43 |
Schur and $q$-Schur algebras |
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20G44 |
Kac-Moody groups |
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20G45 |
Applications of linear algebraic groups to the sciences |
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20G99 |
None of the above, but in this section |