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A note on unimodular lattices with trivial automorphism groups

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Publication:507505
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DOI10.1016/j.disc.2016.11.023zbMath1364.11131OpenAlexW2560162756MaRDI QIDQ507505

Jin Wang

Publication date: 6 February 2017

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2016.11.023


zbMATH Keywords

positive definiteunimodular latticeSiegel's mass formula


Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Automorphism groups of lattices (11H56)



Uses Software

  • Magma


Cites Work

  • Tridiagonal matrices
  • The Magma algebra system. I: The user language
  • Nearly unimodular quadratic forms
  • Positive definite unimodular lattices with trivial automorphism groups
  • A mass formula for unimodular lattices with no roots
  • An extremal ternary self-dual \([28,14,9\) code with a trivial automorphism group]
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