Abstract
The representations of the hyperoctahedral groups has been studied by many authors, see for example Al-Aamily, Morris and Peel and Morris. The latter author has interpreted the work of the first three authors in the combinatorial language used in the representation theory of the symmetric groups, but a work on the inequivalence and Standard basis of the Specht modules of has not yet appeared in the literatüre. Therefore, in this paper we show that Specht modules of the hyperoctahedral groups are mutually non-isomorphic and determine the Standard basis of the Specht modules.
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