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Tensor Products of Positive definite Quadratic forms III

Published online by Cambridge University Press:  22 January 2016

Yoshiyuki Kitaoka
Yoshiyuki Kitaoka*
Affiliation:
Department of Mathematics, Nagoya University
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In the previous papers [2], [3] we treated the following two questions. Let L,M,N be positive definite quadratic lattices over Z:

  • (i) If L, M are indecomposable, then is L⊗M indecomposable?

  • (ii) Does L ⊗ M ⋍ L ⊗ N imply M ⋍ N?

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 70 , July 1978 , pp. 173 - 181
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1978

References

[1] Kitaoka, Y., Scalar extension of quadratic lattices II, Nagoya Math. J. vol. 67 (1977), 159–164.CrossRefGoogle Scholar
[2] Kitaoka, Y., Tensor products of positive definite quadratic forms, Göttingen Nachr. Nr. 4 (1977).Google Scholar
[3] Kitaoka, Y., Tensor products of positive definite quadratic forms II, to appear.Google Scholar
[4] O’Meara, O. T., Introduction to quadratic forms, Springer-Verlag, 1963.CrossRefGoogle Scholar