Abstract.
We generalize the notion of successive minima, Minkowski’s second theorem and Siegel’s lemma to a free module over a simple algebra whose center is a global field.
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The author was partly supported by the Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science.
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Watanabe, T. Minkowski’s Second Theorem over a Simple Algebra. Mh Math 149, 155–172 (2006). https://doi.org/10.1007/s00605-005-0360-x
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DOI: https://doi.org/10.1007/s00605-005-0360-x