Abstract
In which we have a first encounter with representations of finite groups, discover that they are (if the base field is compliant enough) completely reducible and get acquainted with irreducible representations and their characters. Not to mention Schur’s lemma. In the end of the chapter, there is a mysterious appearance of the quaternions.
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Notes
- 1.
Bourbaki usually denotes this vector space \(k^{(X)}\) in his Éléments de Mathématiques.
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Gruson, C., Serganova, V. (2018). Introduction to representation theory of finite groups. In: A Journey Through Representation Theory. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-98271-7_1
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DOI: https://doi.org/10.1007/978-3-319-98271-7_1
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