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On the Modular Representations of the General Linear and Symmetric Groups

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Part of the Lecture Notes in Mathematics book series (LNM,volume 372)

Abstract

Let V be an n-dimensional vector space over C with basis X 1, X 2,..., X n and let T r = VV ⊗ ... ⊗ V (r factors). T r is a module both for GL n (C), via its action on V, and for the symmetric group S r by place permutations.

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© 1974 Springer-Verlag Berlin Heidelberg

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Carter, R.W., Lusztig, G. (1974). On the Modular Representations of the General Linear and Symmetric Groups. In: Newman, M.F. (eds) Proceedings of the Second International Conference on the Theory of Groups. Lecture Notes in Mathematics, vol 372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21571-5_18

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  • DOI: https://doi.org/10.1007/978-3-662-21571-5_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06845-7

  • Online ISBN: 978-3-662-21571-5

  • eBook Packages: Springer Book Archive