G. D. James's Representaions of General Linear Groups PDF

G. D. James's Representaions of General Linear Groups PDF

By G. D. James

Crucial examples of finite teams are the crowd of diversifications of a collection of n items, referred to as the symmetric crew, and the gang of non-singular n-by-n matrices over a finite box, also known as the final linear team. This ebook examines the illustration thought of the final linear teams, and divulges that there's a shut analogy with that of the symmetric teams. It involves an essay which used to be joint winner of the Cambridge college Adams Prize 1981-2, and is meant to be obtainable to mathematicians with out prior expert wisdom of the subjects concerned. many of us have studied the representations of normal linear teams over fields of the traditional attribute, yet this quantity explores new territory by means of contemplating the case the place the attribute of the floor box isn't the usual one. not just are the consequences within the e-book based and engaging of their personal correct, yet they recommend many strains for additional research.

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