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On the irreducible characters of the Weyl groups
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Mayer, Stephen Joel (1971) On the irreducible characters of the Weyl groups. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b1733382~S1
Abstract
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.
| Item Type: | Thesis (PhD) | ||||
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| Subjects: | Q Science > QA Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Weyl groups, Lie algebras | ||||
| Official Date: | September 1971 | ||||
| Dates: |
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| Institution: | University of Warwick | ||||
| Theses Department: | Mathematics Institute | ||||
| Thesis Type: | PhD | ||||
| Publication Status: | Unpublished | ||||
| Supervisor(s)/Advisor: | Carter, Roger W. (Roger William) | ||||
| Sponsors: | Science Research Council (Great Britain) | ||||
| Extent: | 152 leaves | ||||
| Language: | eng |
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