Mathematical Sciences Classification System
20Gxx - 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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20G05Representation theory
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20G07Structure theory
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20G10Cohomology theory
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20G15Linear algebraic groups over arbitrary fields
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20G20Linear algebraic groups over the reals, the complexes, the quaternions
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20G25Linear algebraic groups over local fields and their integers
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20G30Linear algebraic groups over global fields and their integers
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20G35Linear algebraic groups over adèles and other rings and schemes
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20G40Linear algebraic groups over finite fields
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20G41Exceptional groups
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20G42
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20G43Schur and $q$-Schur algebras
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20G44Kac-Moody groups
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20G45Applications to physics
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20G99None of the above, but in this section