Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.745801
Title: On the Clebsch-Gordan problem in prime characteristic
Author: Martin, Samuel
Awarding Body: University of York
Current Institution: University of York
Date of Award: 2018
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Abstract:
We study the tensor product of an induced module and Weyl module, for the special linear group of order two over an algebraically closed field of positive characteristic. We are primarily concerned with the decomposition of such modules into indecomposable summands, and construct a method which allows one to give the decomposition for any such module in any characteristic. We also develop a variety of other techniques to give the decomposition in particular cases. Furthermore, we give a complete account of exactly when such a module is a tilting module for all primes, and give a number of results in a more general setting.
Supervisor: Donkin, Stephen ; Bate, Michael Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.745801  DOI: Not available
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