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Representations of S n

In: Representing Finite Groups

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  • Ambar N. Sengupta

    (Louisiana State University, Department of Mathematics)

Abstract

Having survived the long exploration of semisimple structure, we may think that midway on our journey we find ourselves in deep woods, the right path lost [16]. But this is not the time to abandon hope; instead, we plunge right into untangling the structure of representations of an important family of groups, the permutation groups S n . This will be the only important class of finite groups to which we will apply all the machinery we have manufactured. A natural pathway beyond this is the study of representations of reflection groups.

Suggested Citation

  • Ambar N. Sengupta, 2012. "Representations of S n," Springer Books, in: Representing Finite Groups, chapter 0, pages 157-188, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-1231-1_6
    DOI: 10.1007/978-1-4614-1231-1_6
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