The Journal of the Indian Mathematical Society

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On Spin Representations


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1 Department of Mathematics, The Johns Hopkins Univ, Baltimore. Md., United States
     

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E. CABTAN constructed "spin representations" over the complex numbers. Chevalley [2] observed that Cartan's construction can be carried out for a quadratic form of maximal index over an arbitrary ground field k. In this case the representations turn out to be rational over k.
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  • On Spin Representations

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Authors

Ravindra S. Kulkarni
Department of Mathematics, The Johns Hopkins Univ, Baltimore. Md., United States

Abstract


E. CABTAN constructed "spin representations" over the complex numbers. Chevalley [2] observed that Cartan's construction can be carried out for a quadratic form of maximal index over an arbitrary ground field k. In this case the representations turn out to be rational over k.