The Symmetric Group

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Some homological properties of the category O (2007, methodology): “From [Björner and Brenti 2005, Theorem 6.2.10] and [Sagan 2001, Theorem 3.2.3] we get that C also contains an element of the form w0wS ′ 0 , where S′ corresponds to the conjugate λ′ of λ. Perform the decomposition θ wS ′ 0 = θout wS ′ 0 θon wS ′ 0 , where the term on the right is the translation…”
Poset Topology: Tools and Applications (2006, background): “For further details on the representation theory of the symmetric group and symmetric functions, we refer the reader to the following excellent standard references [76, 124, 149, 172].”
Modules of the 0-Hecke algebra and quasisymmetric Schur functions (2014, background): “These facets and more can be explored more deeply in texts such as [41, 48, 52].”
Classical finite transformation semigroups (2008, background): “It is very similar to the corresponding result for the symmetric group, see for example [Sa] for the latter one.”