representations of hecke algebra of type a

Alharbi, Badr (2013) representations of hecke algebra of type a. Doctoral thesis, University of East Anglia.

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Abstract

We give some new results about representations of the Hecke algebraHF,q(Sn)
of type A. In the first part we define the decomposition numbers dλν to be
the composition multiplicity of the irreducible module Dν in the Specht module
Sλ. Then we compute the decomposition numbers dλν for all partitions
of the form λ = (a, c, 1b) and ν 2–regular for the Hecke algebra HC,−1(Sn).
In the second part, we give some examples of decomposable Specht modules
for the Hecke algebra HC,−1(Sn). These modules are indexed by partitions
of the form (a, 3, 1b), where a, b are even. Finally, we find a new family of
decomposable Specht modules for FSn when char(F) = 2.

Item Type: Thesis (Doctoral)
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Mia Reeves
Date Deposited: 11 Jun 2014 08:43
Last Modified: 11 Jun 2014 08:43
URI: https://ueaeprints.uea.ac.uk/id/eprint/48674
DOI:

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