Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.473698
Title: Characters of the generic Hecke algebra of a system of bn-pairs
Author: Starkey, Andrew John
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1975
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Abstract:
This thesis is concerned vith the construction of the characters of the generic Hecke algebra of a system of BN- pairs of type (W,R). The approach used exploits the connection between these characters and those of the Coxeter group W. Part I of the thesis gives definitions, results and conjectures relevant to calculating the characters of any generic Hecke algebra and Part II applies these results to the problem of calculating the characters of certain generic Hecke algebras. In more detail: Chapter 1 gives basic definitions and describes the connection between the characters of the generic Hecke algebra and those of the Coxeter group W. Chapter 2 divides the problem of calculating the characters into two parts and gives conjectures and results concerning one of these 'parts'. The results given solve this part of the 'problem ( in a non-explicit manner) for some but not all generic Hecke algebras. The last three chapters are all concerned with solving the other 'part' of the problem by an inductive method which uses the connection described in chapter 1. Chapter 3 describes this method ( the 'circle product'). Chapters 4 and 5 apply this method to a particular 'family' of generic Hecke algebras, culminating in an explicit formula (given in theorem 5.3.9) for certain character values. The appendices contain tables of character values of some generic Hecke algebras.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.473698  DOI: Not available
Keywords: QA Mathematics
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