Representations of decomposable forms
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- by Carter Waid PDF
- Proc. Amer. Math. Soc. 43 (1974), 261-265 Request permission
Abstract:
Results connecting binary quadratic forms and their associated quadratic fields are extended to irreducible decomposable forms and their associated fields. A rational linear substitution that carries such a form into a nonzero rational multiple of itself is shown to correspond with a linear map which admits a unique decomposition as multiplication by a nonzero element of the field followed by an automorphism of the field. This correspondence is one-to-one whenever the form is nondegenerate.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 43 (1974), 261-265
- MSC: Primary 10C10; Secondary 10M05
- DOI: https://doi.org/10.1090/S0002-9939-1974-0332656-0
- MathSciNet review: 0332656