Mathematical Sciences Classification System
20Cxx - Representation theory of groups 
[See also  19A22 (for representation rings and Burnside rings)]
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                            20C05Group rings of finite groups and their modules [See also 16S34]
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                            20C07Group rings of infinite groups and their modules [See also 16S34]
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                            20C08Hecke algebras and their representations
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                            20C10Integral representations of finite groups
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                            20C11$p$-adic representations of finite groups
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                            20C12Integral representations of infinite groups
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                            20C15Ordinary representations and characters
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                            20C20Modular representations and characters
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                            20C25Projective representations and multipliers
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                            20C30Representations of finite symmetric groups
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                            20C32Representations of infinite symmetric groups
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                            20C33Representations of finite groups of Lie type
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                            20C34Representations of sporadic groups
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                            20C35Applications of group representations to physics
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                            20C40Computational methods
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                            20C99None of the above, but in this section