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Title: On the irreducible characters of the Weyl groups
Author: Mayer, Stephen Joel
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1971
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In this thesis we study the irreducible characters of the Weyl groups of the simple Lie algebras, in order to give a unified approach to this problem. Chapter one sets up notation. In chapter two we give some known results on the character theory of Weyl groups of type A (the symmetric group) using Weyl subgroups. These are a common feature of Weyl groups and allow us, in chapter three, to generalize to type C. Chapter four deals with type D Which presents a more difficult problem; chapter five is a brief study of the Weyl groups of type B, and finally, chapter six deals with the calculations in the exceptional types G 2 , F4 and E6.
Supervisor: Not available Sponsor: Science Research Council
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics