Abstract
In this chapter, we discuss the representation theory of GL n (ℂ). Schur modules are introduced and are shown to be irreducible GL n (ℂ)-modules, using Schur-Weyl duality. We then discuss the representation theory of SL n (ℂ), and deduce the representation theory of GL n (ℂ). For further details, refer to [17].
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© 2009 Hindustan Book Agency
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Lakshmibai, V., Brown, J. (2009). Schur-Weyl Duality and the Relationship Between Representations of S d and GL n (ℂ). In: Flag Varieties. Texts and Readings in Mathematics, vol 53. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-41-5_6
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DOI: https://doi.org/10.1007/978-93-86279-41-5_6
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-92-0
Online ISBN: 978-93-86279-41-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)